Special Session 73: 

Sign-changing solutions of nonlinear nonlocal problems

Jianjun Zhang
Chongqing Jiaotong University
Peoples Rep of China
Co-Author(s):    
Abstract:
We are concerned with sign-changing solutions of nonlinear nonlocal elliptic problems, including Schrodinger-Poisson systems, Kirchhoff equations and gauged Schrodinger equations. By employing a novel perturbation approach and the method of invariant sets of descending flow, we prove that the problems above admit multiple sign-changing solutions.