Global bifurcation index of critical orbit of strongly indefinite functional
Analysis of PDEs
2018-09-27 v1
Abstract
In this paper we study an index of a critical orbit, defined in terms of the degree for invariant strongly indefinite functionals. We establish a relationship of this index with the index of a critical point of the mapping restricted to the space normal to the orbit. The second aim of the article is to use the index of a critical orbit to prove the bifurcation of nontrivial solutions of nonlinear elliptic systems with Neumann boundary conditions. We consider also the existence of unbounded sets of solutions of such systems.
Keywords
Cite
@article{arxiv.1809.09950,
title = {Global bifurcation index of critical orbit of strongly indefinite functional},
author = {Anna Gołębiewska and Piotr Stefaniak},
journal= {arXiv preprint arXiv:1809.09950},
year = {2018}
}