Special Session 37: Nonlinear elliptic problems in geometry and physics

Nodal solutions for coupled elliptic equations

Zhi-Qiang Wang
Utah State University
USA
Co-Author(s):    Zhi-Qiang Wang
Abstract:
We discuss nodal type solutions for coupled elliptic equations. We report work for constructing multiple nodal solutions having componentwisely-shared nodal numbers of coupled elliptic systems. This is done by further developing critical point theory with built-in flow invariance which has been a useful tool to give locations of critical points by minimum methods.