Dr Shusen Yan

Associate Professor - School of Science & Technology

Shusen Yan

Phone: +61 2 6773 3154

Email: syan@une.edu.au

Biography

I obtained my PhD in 1990 in the Institute of System Science, Chinese Academy of Sciences. In the last decade, I mainly work in elliptic partial differential equations arising from geometry and applied areas.

Qualifications

BSc, MSc (South China Univ of Tech), PhD (Chinese AcadSci, China)

Teaching Areas

Calculus
Discrete mathematics
Differential equations

Research Interests

  • Existence of solutions for elliptic partial differential equations
  • Singular perturbation theories
  • Critical point theory and its application

Publications

Selected publications

Cao Daomin, Noussair Ezzat S. and Yan Shusen, Multiscale-bump standing waves with a critical frequency for nonlinear Schrödinger equations, Trans. Amer. Math. Soc., 360, no. 7, pp. 3813-3837, 2008.

Li Gongbao, Peng Shuangjie and Yan Shusen, A new type of solutions for a singularly perturbed elliptic Neumann problem, Rev. Mat. Iberoam, 23, no. 3, pp. 1039-1066, 2007.

Wei Juncheng and Yan Shusen, Arbitrary many boundary peak solutions for an elliptic Neumann problem with critical growth, J. Math. Pures Appl. (9), 88, no. 4, pp. 350-378, 2007.

Wei Juncheng and Yan Shusen, New solutions for nonlinear Schrödinger equations with critical nonlinearity, J. Differential Equations, 237, no. 2, pp. 446-472, 2007.

Dancer Edward Norman, Ren Xiaofeng and Yan Shusen, On multiple radial solutions of a singularly perturbed nonlinear elliptic system, SIAM J. Math. Anal., 38, no. 6, pp. 2005-2041, 2007.

Wei Juncheng and Yan Shusen, Lazer-McKenna conjecture: the critical case, J. Funct. Anal., 244, no. 2, pp. 639-667, 2007.

Li Gongbao, Yan Shusen and Yang Jianfu, The Lazer-McKenna conjecture for an elliptic problem with critical growth, Calc. Var. Partial Differential Equations, 28, no. 4, pp. 471-508, 2007.

Dancer E. N. and Yan Shusen, A new type of concentration solutions for a singularly perturbed elliptic problem, Trans. Amer. Math. Soc., 359, no. 4, pp. 1765-1790, 2007.

Dancer E. N. and Yan Shusen, Interior peak solutions for an elliptic system of FitzHugh-Nagumo type, J. Differential Equations, 229, no. 2, pp. 654-679, 2006.

Cao Daomin, Noussair Ezzat S. and Yan Shusen, Multiplicity of asymmetric solutions for nonlinear elliptic problems, Quart. Appl. Math., 64, no. 3, pp. 463-482, 2006.