Connected sets of solutions of symmetric elliptic systems
Analysis of PDEs
2019-12-02 v1
Abstract
The purpose of this paper is twofold. First we study bifurcations of connected sets of critical orbits of some invariant functional from a given family of critical orbits. We use techniques of equivariant bifurcation theory to obtain a Rabinowitz type alternative for symmetric gradient operators. The second aim is to apply the abstract results to studying orbits of nonconstant solutions of a nonlinear Neumann problem.
Keywords
Cite
@article{arxiv.1911.12632,
title = {Connected sets of solutions of symmetric elliptic systems},
author = {Anna Gołębiewska and Sławomir Rybicki and Piotr Stefaniak},
journal= {arXiv preprint arXiv:1911.12632},
year = {2019}
}