By Morse theory, we study the existence and multiplicity of solutions for the p-Laplacian equation with a “concave” nonlinearity and a parameter. In our results, we do not need any additional global condition on the nonlinearities except for a subcritical growth condition. The talk is based on my joint work with Hongrui Cai and Mingzheng Sun.

Add:Building 58, The School of Mathematics, Tianjin University Beiyangyuan Campus,

No. 135, Ya Guan Road, Jinnan District, Tianjin, PRC

Tel:022-60787827 Mail:math@tju.edu.cn