Special Session 50: Nonlinear elliptic PDEs: analysis and computations

On Finding Multiple Solutions to Nonvariational Nonlinear Partial Differential Equations

Jianxin Zhou
Texas A&M University
USA
Co-Author(s):    Jianxin Zhou, Bingbing Ji and Zhiqiang Wang
Abstract:
In this talk, a method to find multiple solutions to nonvariational nonlinear partial differential equations will be developed. Its mathematical justifications will be established. Some numerical examples will be presented where numerical solutions are the first time to be computed and visualized. Since the framework of the method is quite general, it is open to discuss various modifications.