Special Session 106: 

Applications of Morse theory to some nonlinear elliptic equations with resonance at zero

Rushun Tian
Capital Normal University
Peoples Rep of China
Co-Author(s):    Mingzheng Sun, Leiga Zhao
Abstract:
In this paper we study the existence and multiplicity of solutions for some nonlinear elliptic boundary value problems with resonance at zero by applying Morse theory. We do not impose additional global condition on the nonlinearities, except for a subcritical growth condition.