Publications

Authored books

  1. Y. DuOrder structure and topological methods in nonlinear partial differential equations. Vol. 1, Maximum principles and applications, Series in Partial Differential Equations and Applications, 2, World Scientific Publishing Co. Pte. Ltd., Hackensack, NJ, x+190 pages. ISBN 981-256-624-4, 2006.

Edited books

  1. Y. Du, Hitoshi Ishii and Wei-Yueh Lin (editors), Recent Progress in Nonlinear Partial Differential Equations and Viscosity Solutions, World Scientific Publishing, 372 pages. ISBN 981-283-473-7, 2009.

Book Chapters

  1. M. R. Myerscough, J. R. Edwards and T. M. Schaerf, Models for the recruitment and allocation of honey bee foragers, in “In Silico Bees”, edited by James Devillers, Taylor and Francis, 2014, pp 67-86.
  2. Y. Du, Establishment or vanishing: fate of an invasive species based on mathematical models, in "The Balance of Nature and Human Impact", edited by Klaus Rohde, Cambridge University Press, 2013, pp 231-238.
  3. Y. DuChange of environment in model ecosystems: effect of a protection zone in diffusive population models, in “Recent Progress in Nonlinear Partial Differential Equations and Viscosity Solutions”, edited by Yihong Du, Hitoshi Ishii and Wei-Yueh Lin, World Scientific Publishing, 2009.
  4. C. Macaskill and T. M. Schaerf, Jupiter’s Great Red Spot, in Encyclopedia of Nonlinear Science”, edited by Alwyn Scott, Routledge, 2005, pp 486—488.

Refereed journal articles

2018
  1. X. Zhang and Y. Du, Sharp conditions for the existence of boundary blow-up solutions to the Monge–Ampère equation, Calculus of Variations and Partial Differential Equations, 57 (2018) 30.
  2. W. Bao, Y. Du, Z. Lin and H. Zhu, Free boundary models for mosquito range movement driven by climate warming, Journal of mathematical biology, 76 (2018) 841-875.
  3. C. Lei, H. Nie, W. Dong and Y. Du, Spreading of two competing species governed by a free boundary model in a shifting environment, Journal of Mathematical Analysis and Applications, doi:10.1016/j.jmaa.2018.02.042 (2018).
  4. A. L. Burns, T. M. Schaerf and A. J. W. Ward, Behavioural consistency and group conformity in humbug damselfish, Behaviour, 154 (2018) 1343-1359.
  5. A. J. W. Ward, J. E. Herbert-Read, T. M. Schaerf and F. Seebacher, The physiology of leadership in fish shoals: leaders have lower maximal metabolic rates and lower aerobic scope, Journal of Zoology, doi:10.1111/jzo.12534, (2018).
  6. R. Peng and M. Zhou, Effects of large degenerate advection and boundary conditions on the principal eigenvalue and its eigenfunction of a linear second order elliptic operator, Indiana Univ. Math. J. (2018).
2017
  1. S. Ai, Y. Du and R. Peng, Traveling waves for a generalized Holling–Tanner predator–prey model, Journal of Differential Equations, 263 (2017) 7782-7814.
  2. C. Lei and Y. Du, Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model, Discrete & Continuous Dynamical Systems-Series B, 22 (2017) 895-911.
  3. L. Wei and Y. Du, Exact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potential, Journal of Differential Equations, 262 (2017) 3864-3886.
  4. W. Ding, Y. Du and X. Liang, Spreading in space-time periodic media governed by a monostable equation with free boundaries, Part 1: Continuous initial functions, J. Diff. Eqns., 262 (2017) 4988-5021.
  5. Y. Du, L. Wei and L. Zhou, Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary, Journal of Dynamics and Differential Equations, (2017).
  6. S. Davis, R. Lukeman, T. M. Schaerf and A. J. W. Ward, Familiarity affects collective motion in shoals of guppies (Poecilia reticulata), Royal Society Open Science, 4 (2017) 170312.
  7. C. Raven, R. Shine, M. Greenlees, T. M. Schaerf and A. J. W. Ward, The role of biotic and abiotic cues in stimulating aggregation by larval cane toads (Rhinella marina), Ethology, 123 (2017) 724-735.
  8. J. C. Makinson, T. M. Schaerf, N. Wagner, B. P. Oldroyd and M. Beekman, Collective decision making in the red dwarf honeybee Apis florea: do the bees simply follow the flowers? Insectes Sociaux, 64 (2017) 557-566.
  9. A. J. W. Ward, T. M. Schaerf, J. E. Herbert-Read, L. Morrell, D. J. T. Sumpter and M. M. Webster, Local interactions and global properties of wild, free-ranging stickleback shoals, Royal Society Open Science, 4 (2017) 170043.
  10. T. M. Schaerf, P. W. Dillingham and A. J. W. Ward, The effects of external cues on individual and collective behavior of shoaling fish, Science Advances, 3 (2017) e1603201.
  11. P. N. LoxleyThe two-dimensional Gabor function adapted to natural image statistics: A model of simple-cell receptive fields and sparse structure in images,
    Neural Computation 29 (2017) 2769.
  12. B. Lou, N. Sun and M. Zhou, A diffusive Fisher-KPP equation with free boundaries and time-periodic advections, Calculus of Variations and PDEs 56 (2017), no. 3.
  13. Y. Du, M. Wang and M. Zhou, Semi-wave and spreading speed for the diffusive competition model with a free boundary, J. Math. Pures Appl. (9) 107 (2017) 253-287.
  14. A. Ottazzi and G. Schmalz, Normal forms of para-CR hypersurfaces, Diff. Geom. Appl., 52 (2017) 78–93.
  15. V. Ejov, M. Kolář and G. Schmalz, Rigid embeddings of Sasakian hyperquadrics in , published online first in  J. Geom. Anal. (2017).
  16. N. Boland, T. Kalinowski and F. Rigterink,  A polynomially solvable case of the pooling problem, Journal of Global Optimization, 67 (2017) 621-630.
  17. N. Boland, S. Dey, T. Kalinowski, M. Molinaro and F. Rigterink, Bounding the gap between the McCormick relaxation and the convex hull for bilinear functions, Mathematical Programming, 162 (2017) 523-535.
  18. A. Harris, "An intrinsic approach to stable embedding of normal surface deformations" Methods and Applications of Analysis 24 (2017) 277-292.
  19. K. M. Pavlov, V. I. Punegov, K. S. Morgan, G. Schmalz and D. M. Paganin, Deterministic Bragg Coherent Diffraction Imaging, Scientific Reports 7 (2017) 1132.
  20. V. I. Punegov, K. M. Pavlov, A. V. Karpov and N. N. Faleev. Applications of dynamical theory of X-ray diffraction by perfect crystals to reciprocal space mapping. J. Appl. Cryst. 50 (2017) 1256-1266.
  21. C.-S. Lin and S. Yan, On condensate of solutions for the Chern-Simons-Higgs equation, Annales de l'Institut Henri Poincare 34 (2017) 1329-1354.
2016
  1. M. Musso, J. Wei and S. Yan, Infinitely many positive solutions for a nonlinear field equation with super-critical growth. Proc. Lond. Math. Soc.112 (2016)1–26.
  2. Y. Deng, S. Peng and S. Yan, Critical exponents and solitary wave solutions for generalized quasilinear Schrödinger equations. J. Differential Equations 260 (2016) 1228–1262.
  3. J. C. Makinson, T. M. Schaerf, A. Rattanawannee, B. P. Oldroyd and M. Beekman, How does a swarm of the giant honeybee Apis dorsata reach consensus? A study of the individual behaviour of scout bees, Insectes Sociaux, 63 (2016) 395-406.
  4. M. J. Hansen, T. M. Schaerf, S. J. Simpson and A. J. W. Ward, Group foraging decisions in nutritionally differentiated environments, Functional Ecology, 30 (2016) 1638—1647.
  5. M. J. Hansen, T. M. Schaerf, J Krause and A. J. W. Ward, Crimson spotted rainbowfish (Melanotaenia duboulayi) change their spatial position according to nutritional requirement, PLoS One, 11 (2016) e0148334.
  6. M. Beekman, K. Preece and T. M. Schaerf, Dancing for their supper: Do honeybees adjust their recruitment dance in response to the protein content of pollen?, Insectes Sociaux, 63 (2016) 117-126.
  7. Y. Du, B. Lou and M. Zhou, Spreading and vanishing for nonlinear Stefan problems in high space dimensions, J. Elliptic and Parabolic Equations 2 (2016) 297-321.
  8. W. Lei, G. Zhang and M. Zhou, Long time behavior for solutions of the diffusive logistic equation with advection and free boundary, Calculus of Variations and PDEs 55 (2016) 1-34.
  9. X. Chen, B. Lou, M. Zhou and T. Giletti, Long time behavior of solutions of a reaction diffusion equation on unbounded intervals with Robin boundary conditions, Ann. Inst. H. Poincaré Anal. Non Linéaire 33 (2016) 67-92.
  10. A. Ottazzi and G. Schmalz, Singular multicontact structures, J. Math. Anal. Appl., 443 (2016) 1220–1231.
  11. C.-J. Joo, K.-T. Kim and G. Schmalz, On the generalization of Forelli's theorem, Math. Ann., 365 (2016) 1187–1200.
  12. V. Ejov and G. Schmalz, The zero curvature equation for rigid CR-manifolds, Complex Var. Elliptic Equ. 61 (2016) 443-447.
  13. N. Boland, T. Kalinowski and F. Rigterink, New multi-commodity flow formulations for the pooling problem, Journal of Global Optimization, 66 (2016) 669-710.
  14. T. Kalinowski, U. Leck, C. Reiher and I.T. Roberts, Minimizing the regularity of maximal regular antichains of 2- and 3-sets, Australasian Journal of Combinatorics, 64 (2016) 277-288.
  15. N. Boland, I. Dumitrescu, G. Froyland and T. Kalinowski, Minimum cardinality non-anticipativity constraint sets for multistage stochastic programming, Mathematical Programming, 157 (2016) 69-93.
  16. A. Harris and G. P. Paternain, Conformal great-circle flows on the 3-sphere, Proceedings of the American Mathematical Society 144 (2016) 1725-1734.
  17. V. I. Punegov, S. I. Kolosov and K. M. Pavlov, Bragg-Laue X-ray dynamical diffraction on perfect and deformed lateral crystalline structures, J. Appl. Cryst. 49 (2016) 1190-1202.
2015
  1. Y. Du and P. Polácik, Locally uniform convergence to an equilibrium for nonlinear parabolic equations on RN, Indiana University Mathematics Journal, 64 (2015) 787-824.
  2. Y. Du, S.-B. Hsu and Y. Lou, Multiple steady-states in phytoplankton population induced by photoinhibition, Journal of Differential Equations, 258 (2015) 2408-2434.
  3. Y. Du and X. Liang, Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model, Ann. Inst. Henri Poincare Anal. Non Lineaire, 32 (2015) 279-305.
  4. Y. Du and B. Lou, Spreading and vanishing in nonlinear diffusion problems with free boundaries, J. Eur. Math. Soc., 17 (2015) 2673-2724.
  5. D. Cao, S. Peng and S. Yan, Planar vortex patch problem in incompressible steady flow, Adv. Math., 270 (2015) 263–301.
  6. Y. Du and Z. Guo, Finite Morse index solutions of weighted elliptic equations and the critical exponents., Calc. Var. Partial Differential Equations, 54 (2015) 3161–3181.
  7. Y. Du and L. Wei, Lei Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential. J. Lond. Math. Soc.91 (2015) 731–749.
  8. M. J. Hansen, T. M. Schaerf and A. J. W. Ward, The influence of nutritional state on individual and group movement behaviour in shoals of crimson-spotted rainbowfish (Melanotaenia duboulayi), Behavioral Ecology and Sociobiology, 69 (2015) 1713-1722.
  9. M. J. Hansen, T. M. Schaerf and A. J. W. Ward, The effect of hunger on the exploratory behaviour of shoals of mosquitofish Gambusia holbrooki, Behaviour, 152 (2015) 1659-1677.
  10. J. R. Christie, T. M. Schaerf and M. Beekman, Selection against heteroplasmy explains the evolution of uniparental inheritance of mitochondria, PLoS Genetics, 11 (2015) e1005112.
  11. M. Beekman, J. C. Makinson, M. J. Couvillon, K. Preece and T. M. Schaerf, Honeybee linguistics – a comparative analysis of the waggle dance among species of Apis, Frontiers in Ecology and Evolution, 3 (2015) doi:10.3389/fevo.2015.00011.
  12. H. Gu, B. Lou and M. Zhou, Long time behavior of solutions of Fisher-KPP equation with advection and free boundaries, J. Funct. Anal., 269 (2015) 1714–1768.
  13. T. Giletti, L. Monsaingeo and M. Zhou, A KPP road-field system with spatially periodic exchange terms, Nonlinear Anal. 128 (2015) 273–302.
  14. Y. Du, B. Lou and M. Zhou, Nonlinear diffusion problems with free boundaries: convergence, transition speed and zero number arguments, SIAM J. Math. Anal., 47 (2015) 3555–3584.
  15. Y. Du, H. Matsuzawa and M. Zhou, Spreading speed and profile for nonlinear Stefan problems in high space dimensions, J. Math. Pures Appl., 103 (2015) 741–787.
  16. V. Ejov and G. Schmalz, Explicit description of spherical rigid hypersurfaces in , Complex Analysis and its Synergies, 1-2 (2015).
  17. T. Kalinowski, D. Matsypura and M.W.P. Savelsbergh, Incremental network design with maximum flows, European Journal of Operational Research, 242 (2015) 51-62.
  18. Y. I. Nesterets, T. E. Gureyev, S. C. Mayo, A. W. Stevenson, D. Thompson, J. M. C. Brown, M. J. Kitchen, K. M. Pavlov, D. Lockie and G. Tromba, A feasibility study of X-ray phase-contrast mammographic tomography at the Imaging and Medical beamline of the Australian Synchrotron., J. Synchr. Rad. 22 (2015) 1509-1523.
  19. H. Baues and B.Bleile, The third homotopy group as a π₁-module, Applicable Algebra in Engineering, Communication and Computing, 26 (2015) 165-189.
  20. Y. Deng, C.-S. Lin and S. Yan, On the prescribed scalar curvature problem in , local uniqueness and periodicity, J. Math. Pures Appl. 104 (2015) 1013-1044.
  21. P. Álvarez-Caudevilla, Y. Du and R. Peng, Qualitative analysis of a cooperative reaction-diffusion system in a spatiotemporally degenerate environment, SIAM Journal on Mathematical Analysis, 46 (2015) 499-531.
2014
  1. Y. Du, H. Matano and K. Wang, Regularity and asymptotic behavior of nonlinear Stefan problems, Arch. Rational Mech. Anal., 212 (2014) 957-1010.
  2. Y. Du, Z. Guo and K. Wang, Monotonicity formula and ε-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions. Calc. Var. Partial Differential Equations 50 (2014) 615–638.
  3. Y. Du and Zhigui Lin, The diffusive competition model with a free boundary: Invasion of a superior or inferior competitor, Discrete Cont. Dyn. Syst.-B, 19 (2014) 3105-3132.
  4. J. C. Makinson, T. M. Schaerf, A. Rattanawanne, B. P. Oldroyd and M. Beekman, Consensus building in the giant Asian honeybee, Apis dorsata, swarms on the move, Animal Behaviour, 93 (2014) 191-199.
  5. J. Cai, B. Lou and M. Zhou, Asymptotic behavior of solutions of a reaction diffusion equation with free boundary conditions, J. Dynam. Differential Equations 26 (2014) 1007–1028.
  6. Y. Du, H. Matsuzawa and M. Zhou, Sharp estimate of the spreading speed determined by nonlinear free boundary problems, SIAM J. Math. Anal. 46 (2014) 375–396.
  7. F. de Hoog, G. Schmalz and T. E. Gureyev, An uncertainty inequality, Appl. Math. Lett. 38 (2014) 84-86.
  8. T. Gureyev, Y. Nesterets, F. de Hoog, G. Schmalz,  S. C. Mayo, S. Mohammadi and G. Tromba, Duality between noise and spatial resolution in linear systems, Optics Express, 22 (2014) 9087-9094.
  9. V. Ejov and G.Schmalz, Spherical rigid hypersurfaces in , Differential Geom. Appl. 33 (2014) 267-271.
  10. N. Boland, T. Kalinowski, H. Waterer and L. Zheng, Scheduling arc maintenance jobs in a network to maximize total flow over time, Discrete Applied Mathematics, 163 (2014) 34-52.
  11. M. Baxter, T. Elgindy, A.T. Ernst, T. Kalinowski and M.W.P. Savelsbergh, Incremental network design with shortest paths, European Journal of Operational Research, 238 (2014) 675-684.
  12. A. Harris and M. Kolar, On hyperbolicity of domains with strictly pseudoconvex ends, Canadian Journal of Mathematics, 66 (2014) 197-204.
  13. P. Vagovic, L. Sveda, A. Cecilia, E. Hamann, D. Pelliccia, E. N. Gimenez, D. Korytar, K. M. Pavlov, Z. Zaprazny, M. Zuber, T. Koenig, M. Olbinado, W. Yashiro, A. Momose, M. Fiederle and T. Baumbach, X-ray Bragg Magnifier Microscope as a linear shift invariant imaging system: image formation and phase retrieval, Optics Express 22 (2014) 21508-21520.
  14. T. E. Gureyev, S. C. Mayo, Ya I. Nesterets, S. Mohammadi, D. Lockie, R. H. Menk, F. Arfelli, K. M. Pavlov, M. J. Kitchen, F. Zanconati, C. Dullin and G Tromba, Investigation of the imaging quality of synchrotron-based phase-contrast mammographic tomography, J. Phys. D: Appl. Phys., 47 (2014) 365401.
  15. V. I. Punegov, S. I. Kolosov and K.M. Pavlov, Darwin's approach to X-ray diffraction on lateral crystalline structures, Acta Cryst. A, 70 (2014) 64-71.
2013
  1. T. M. Schaerf, J. C. Makinson, M. R. Myerscough and M. Beekman, Do small swarms have an advantage when house hunting? – The effect of swarm size on nest-site selection by Apis mellifera, Journal of the Royal Society Interface, 10 (2013) 20130533.
  2. J. E. Herbert-Read, S. Krause, L. Morrel, T. M. Schaerf, J. Krause and A. J. W. Ward, The role of individuality in collective group movement, Proceedings of the Royal Society B, 280 (2013) 20122564.
  3. P. N. Loxley and B. T. Nadiga, Bistability and Hysteresis of Maximum-Entropy States in Decaying Two-Dimensional Turbulence, Physics of Fluids 25 (2013) 015113.
  4. T. Kalinowski, U. Leck and I.T. Roberts, Maximal antichains of minimum size, Electronic Journal of Combinatorics, 20 (2013) 1-14.
  5. J.-C. Joo, K.-T. Kim and G. Schmalz, A generalization of Forelli's theorem. Math. Ann. 355 (2013) 1171-1176.
  6. C.-S. Lin and S. Yan, Bubbling solutions for the SU(3) Chern-Simons model on a torus, Comm. Pure Appl. Math., 66 (2013) 991-1027.
  7. C.-S. Lin and S. Yan, Existence of bubbling solutions for Chern-Simons model on a torus, Arch. Ration. Mech. Anal. 207 (2013) 353-392.
  8. S. Yan and J. Yang, Infinitely many solutions for an elliptic problem involving critical Sobolev and Hardy-Sobolev exponents, Calc. Var. Partial Differential Equations 48 (2013) 587-610.
  9. D. Cao, S. Peng and S. Yan, On the Webster scalar curvature problem on the CR sphere with a cylindrical-type symmetry, J. Geom. Anal. 23 (2013), 1674-1702.
  10. J. Wei and S. Yan, Infinitely many nonradial solutions for the Henon equation with critical growth, Rev. Mat. Iberoam., 29 (2013) 997-1020.
  11. Y. Du, Z. Guo and R. Peng, A diffusive logistic model with a free boundary in time-periodic environment, J. Funct. Anal., 265 (2013), 2089-2142.
  12. E. N. Dancer, Y. Du and M. Efendiev, Quasilinear elliptic equations on half- and quarter-spaces, Adv. Nonlinear Studies (special issue dedicated to Klaus Schmitt), 13 (2013) 115-136.
  13. Y. Du and Z. M. Guo, Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations, Adv. Diff. Eqns., 18 (2013) 737-768.
  14. Y. Du and R. Peng, Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation, J. Diff. Eqns., 254 (2013) 3794-3816.
2012
  1. R. M. Brito, T. M. Schaerf, M. R. Myerscough, T. A. Heard and B. P. Oldroyd, Brood comb construction by the stingless bees Tetragonula hockingsi and Tetragonula carbonaria, Swarm Intelligence, 6 (2012) 151-176.
  2. T. M. Schaerf and C. Macaskill, On contour crossings in contour-advective simulations – part 2 – analysis of crossing errors and methods for their prevention, Journal of Computational Physics, 231 (2012) 481-504.
  3. T. M. Schaerf and C. Macaskill, On contour crossings in contour-advective simulations – part 1 – alogirthm for detection and quantification, Journal of Computational Physics, 231 (2012) 465-480.
  4. T. W. Baillie, T. E. Gureyev, J. A. Schmalz and K. M. Pavlov, Phase-contrast X-ray tomography using Teague’s method, Optics Express 20 (2012) 16913-16925.
  5. G. Bunting, Y. Du and K. Krakowski, Spreading speed revisited: Analysis of a free boundary model, Networks and Heterogeneous Media (special issue dedicated to H. Matano), 7 (2012) 583-603.
  6. Y. Du and R. Peng, The periodic logistic equation with spatial and temporal degeneracies, Trans. Amer. Math. Soc., 364 (2012) 6039-6070.
  7. Y. Du and Z. M. Guo, The Stefan problem for the Fisher-KPP equation, J. Diff. Eqns., 253 (2012) 996-1035.
  8. Y. Du and L. Ma, A Liouville theorem for conformal Gaussian curvature type equations in , Calculus of Variations and PDEs, 43 (2012) 485-505.
  9. D. Cao, S. Peng and S. Yan, Infinitely many solutions for p-Laplacian equation involving critical Sobolev growth. J. Funct. Anal. 262 (2012) 2861-2902.
  10. W. Chen, J. Wei and S. Yan, Infinitely many solutions for the Schrödinger equations in with critical growth. J. Differential Equations 252 (2012) 2425-2447.
  11. G. Schmalz and J. Slovak, Free CR distributions. Cent. Eur. J. Math. 10 (2012) 1896-1913.
2011
  1. J. E. Herbert-Read, A. Perna, R. Mann, T. M. Schaerf, D. J. T. Sumpter and A. J. W. Ward, Inferring the rules of interaction of shoaling fish, Proceedings of the National Academy of Sciences, 108 (2011) 18726-18731.
  2. T. M. Schaerf, M. R. Myerscough, J. C. Makinson and M. Beekman, Inaccurate and unverified information in decision making – a model for the nest site selection process of Apis florea, Animal Behaviour, 82 (2011) 995-1013.
  3. K. Diwold, T. M. Schaerf, M. R. Myerscough, M. Middendorf and M. Beekman, Deciding on the wing: in-flight decision making and search space sampling in the red dwarf honeybee A. florea, Swarm Intelligence, 5 (2011) 121-141.
  4. J. C. Makinson, B. P. Oldroyd, T. M. Schaerf, W. Wattanachaiyingcharoen and M. Beekman, Moving home: nest-site selection in the red dwarf honeybee (Apis florea), Behavioral Ecology and Sociobiology, 65 (2011) 945—958.
  5. P. N. Loxley, L. M. A. Bettencourt, and G. T. Kenyon, Ultra-Fast detection of salient contours through horizontal connections in the primary visual cortex, 
    Europhysics Letters 93 (2011) 64001.
  6. T. Kalinowski, A Minimum Cost Flow Formulation for Approximated MLC Segmentation, Networks, 57 (2011) 135-140.
  7. J. A. Schmalz, T. E. Gureyev, D. M. Paganin and K.M. Pavlov. Phase retrieval using radiation and matter wave fields: Validity of Teague's method for solution of the transport of intensity equation, Physical Review A 84(2011) 023808.
  8. K. M. Pavlov, D. M. Paganin, D. J. Vine, J. A. Schmalz, Y. Suzuki, K. Uesugi, A. Takeuchi, N. Yagi, A. Kharchenko, G. Blaj, J. Jakubek, M. Altissimo and J. N. Clark. Quantized hard-x-ray phase vortices nucleated by aberrated nanolenses. Physical Review A 83 (2011) 013813.
  9. S. G. Podorov, A. I. Bishop, D .M. Paganin and K. M. Pavlov, Mask-assisted deterministic phase–amplitude retrieval from a single far-field intensity diffraction pattern: two experimental proofs of principle using visible light, Ultramicroscopy, 111 (2011)782–787.
  10. M. J. Kitchen, D. M. Paganin, K. Uesugi, B. J. Allison, R. A. Lewis, S. B. Hooper and K.M. Pavlov, Phase contrast image segmentation using a Laue analyser, Phys. Med. Biol., 56 (2011) 515-534.
  11. Y. Du and L. Mei, On a nonlocal reaction-diffusion-advection equation modeling phytoplankton, Nonlinearity, 24 (2011) 319-349.
  12. Y. Du and Z. Guo, Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary II, J. Diff. Eqns., 250 (2011) 4336-4366.
  13. J. Wei and S. Yan, Infinitely many positive solutions for an elliptic problem with critical or supercritical growth. J. Math. Pures Appl. 96 (2011) 307-333.
  14. D. Cao and S. Yan, Infinitely many solutions for an elliptic Neumann problem involving critical Sobolev growth. J. Differential Equations 251 (2011) 1389-1414.
  15. L. Wang, J. Wei and S. Yan, On Lin-Ni's conjecture in convex domains. Proc. Lond. Math. Soc. 102 (2011) 1099-1126.
  16. V. Ezhov, B. McLaughlin and G. Schmalz, From Cartan to Tanaka: getting real in the complex world, Notices Amer. Math. Soc., 58 (2011) 20-27.
  17. H.-J. Baues and B. Bleile, Self-maps of the product of two spheres fixing the diagonal, Topology Appl. 158 (2011) 2198-2204.
  18. A. Harris and M. Kolar, On infinitesimal deformations of the regular part of a complex cone singularity, Kyushu J. Math., 65 (2011) 25-38.
2010
  1. M. J. Kitchen, D. M. Paganin, K. Uesugi, B. J. Allison, R. A. Lewis, S. B. Hooper and K.M. Pavlov. X-ray phase, absorption and scatter retrieval using two or more phase contrast images, Optics Express 18 (2010) 19994-20012.
  2. D. Cao, S. Peng and S. Yan, Multiplicity of solutions for the plasma problem in two dimensions. Adv. Math. 225 (2010) 2741-2785.
  3. F. Cirstea and Y. Du, Isolated singularities for weighted quasilinear elliptic equations, J. Functional Anal., 259 (2010) 174-202.
  4. Y. Du and Z. Lin, Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary, SIAM J. Math. Anal., 42 (2010) 377-405.
  5. Y. Du and Hiroshi Matano, Convergence and sharp thresholds for propagation in nonlinear diffusion problems, J. European Math. Soc., 12 (2010) 279-312.
  6. J. Wei and S. Yan, On a stronger Lazer-McKenna conjecture for Ambrosetti-Prodi type problems, Ann. Sc. Norm. Super. Pisa Cl. Sci. 9 (2010) 423-457.
  7. C.-S. Lin and S. Yan, Bubbling solutions for relativistic abelian Chern-Simons model on a torus, Comm. Math. Phys., 297 (2010) 733-758.
  8. D. Cao and S. Yan, Infinitely many solutions for an elliptic problem involving critical Sobolev growth and Hardy potential, Calc. Var. Partial Differential Equations, 38 (2010) 471-501.
  9. L. Wang, J. Wei and S. Yan, A Neumann problem with critical exponent in nonconvex domains and Lin-Ni's conjecture, Trans. Amer. Math. Soc., 362 (2010), 4581-4615.
  10. J. Wei and S. Yan, Infinitely many solutions for the prescribed scalar curvature problem on , J. Funct. Anal, 258 (2010) 3048-3081.
  11. J. Wei and S. Yan, Infinitely many positive solutions for the nonlinear Schrödinger equations in , Calc. Var. Partial Differential Equations 37 (2010) 423-439.
  12. J. Schmalz, G. Schmalz, T. Gureyev, and K. Pavlov, On the derivation of the Greens function for the Helmholtz equation using generalized functions, Am. J. Phys., 78 (2010) 181-186.
  13. B. Bleile, Poincare duality pairs of dimension three, Forum Math., 22 (2010) 277-301.
  14. C. Albert, B. Bleile and J. Frohlich, Batalin-Vilkovisky integrals in finite dimensions, J. Math. Phys., 51 (2010) 015213.
2009
  1. P. N. Loxley and P. A. Robinson, Soliton Model of Competitive Neural Dynamics during Binocular Rivalry, Physical Review Letters 102 (2009) 258701.
  2. H. Henke, P. A. Robinson, P. M. Drysdale and P. N. Loxley, Spatiotemporal dynamics of pattern formation in the primary visual cortex and hallucinations, 
    Biological Cybernetics, 101 (2009) 3.
  3. M. Grüttmüller, S. Hartmann, T. Kalinowski, U. Leck and I.T. Roberts, Maximal Flat Antichains of Minimum Weight, Electronic Journal of Combinatorics, 16 (2009) #R69.
  4. T. Kalinowski, A Dual of the Rectangle-Segmentation Problem for Binary Matrices, Electronic Journal of Combinatorics, 16 (2009) #R89.
  5. W. X. Tang, D. E. Jesson, K. M. Pavlov, M. J. Morgan and B. F. Usher, Ga droplet morphology on GaAs (001) studied by Lloyd’s Mirror photo-emission electron microscopy, J. Phys.: Condens. Matter, 21 (2009) 314022.
  6. D. J. Vine, D. M. Paganin, K. M. Pavlov, K. Uesugi, A. Takeuchi, Y. Suzuki, N. Yagi, T. Kämpfe, E.-B. Kley, E. Förster. Deterministic Green’s function retrieval using hard X-rays, Phys. Rev. Lett., 102 (2009) 043901.
  7. Y. Du and Y. Yamada, On the long-time limit of positive solutions to the degenerate logistic equation, Discrete and Continuous Dynamical Systems A, 25 (2009) 123-132.
  8. Y. Du, R. Peng and M. Wang, Effect of a protection zone in the diffusive Leslie predator-prey model, J. Diff. Eqns., 246 (2009) 3932-3956.
  9. Y. Du and Z. M. Guo, Positive solutions of an elliptic equation with negative exponent: stability and critical power, J. Diff. Eqns., 246 (2009) 2387-2414.
  10. D. Cao, S. Peng and S. Yan, Asymptotic behaviour of ground state solutions for the Henon equation, IMA J. Appl. Math., 74 (2009) 468-480.
  11. E. N. Dancer, D. Hilhorst and S. Yan, Peak solutions for the Dirichlet problem of an elliptic system, Discrete Contin. Dyn. Syst. 3 (2009) 731-761.
  12. K. T. Kim, E. Poletsky and G. Schmalz, Functions holomorphic along holomorphic vector fields, Journal of Geometric Analysis, 19 (2009) 655-666.
  13. V. Ejov, M. Kolar and G. Schmalz, Degenerate hypersurfaces with a two-parametric family of automorphisms, Complex Variables and Elliptic Equations, 54 (2009) 283-291.
2008
  1. P. N. Loxley, Rate of magnetization reversal due to nucleation of soliton-antisoliton pairs at point-like defects, Physical Review B, 77 (2008) 144424.
  2. M. J. Kitchen, K. M. Pavlov, S. B. Hooper, D. J. Vine, K. K. W. Siu, M. J. Wallace, M. L. L. Siew, N. Yagi, K. Uesugi and R.A. Lewis, Simultaneous acquisition of dual analyser-based phase contrast X-ray images for small animal imaging, Eur J. Radiol, 68S (2008) S49-S53.
  3. Y. Du and S.-B. Hsu, Concentration phenomena in a nonlocal quasiliear problem modelling phytoplankton I: Existence, SIAM J. Math. Anal., 40 (2008) 1419-1440.
  4. Y. Du and S.-B. Hsu, Concentration phenomena in a nonlocal quasiliear problem modelling phytoplankton II: Limiting profile, SIAM J. Math. Anal., 40 (2008) 1441-1470.
  5. Y. Du, P. Y. H. Pang and M. Wang, Qualitative analysis of a predator-prey model with stage structure for the predator, SIAM J. Appl. Math., 69 (2008) 596-620.
  6. Y. Du and X. Liang, A diffusive competition model with a protection zone, J. Diff. Eqns., 244 (2008) 61-86.
  7. Y. Du, The heterogeneous Allen-Cahn equation in a ball: solutions with layers and spikes, J. Diff. Eqns., 244 (2008) 117-169.
  8. Y. Du, Z. Liu, A. Pistoia and S. Yan, Sign changing solutions with clustered layers near the origin for singularly perturbed semilinear elliptic problems on a ball, Methods and Applications of Analysis (special issue dedicated to N.S. Trudinger), 15 (2008) 137-148.
  9. A. Harris and M. Kolar, A Remark on cohomology with supports in the complement of a cone singularity, RIMS Kokyuroku, 1610 (2008) 32-37.
  10. A. Harris and G. Paternain, Dynamically convex Finsler metrics and J-holomorphic embedding of asymptotic cylinders, Ann. Global Anal and Geom., 34 (2008) 115-134.
  11. A. Harris and K. Wysocki, Branch-structure of J-holomorphic curves near periodic orbits of a contact manifold, Trans. Amer. Math. Soc., 360 (2008) 2131-2152.
  12. V. Beloshapka, V. Ejov and G. Schmalz, Holomorphic classification of 4-dimensional surfaces in C3, Izv. Ross. Akad. Nauk Ser. Mat., 72 (2008) 3-18.
  13. V. Ejov, G. Schmalz and A. Spiro, CR-manifolds of codimension two of parabolic type, Indiana University Mathematics Journal, 57 (2008) 309-342.
  14. C.-K. Han, J.-W. Oh and G. Schmalz, Symmetry algebra for multi-contact structures given by 2n vector fields on , Mathematische Annalen, 341 (2008) 529-542.
  15. D. Cao, E. S. Noussair and S. Yan, Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations, Trans. Amer. Math. Soc., 360 (2008) 3813-3837.
  16. E. N. Dancer and S. Yan, The Lazer-McKenna conjecture and a free boundary problem in two dimensions, Journal of the London Mathematical Society, 78 (2008) 639-662.
  17. E. N. Dancer and S. Yan, On the Lazer-McKenna conjecture involving critical and supercritical exponents, Methods and Applications of Analysis, 15 (2008) 97-120.
  18. H. J. Baues and B. Bleile, Poincare duality complexes in dimension four, Algebr. Geom. Topol., 8 (2008) 2355-2389.