Structure of sets of solutions of parametrised semi-linear elliptic systems on spheres

Autor:	Gołębiewska, Anna, Stefaniak, Piotr
Rok vydání:	2020
Předmět:	Mathematics - Analysis of PDEs Primary: 35J50 Secondary: 35B32
Druh dokumentu:	Working Paper
Popis:	In this paper we study a parametrised non-cooperative symmetric semi-linear elliptic system on a sphere. Assuming that there exist critical orbits of the potential, we study the structure of the sets of solutions of the system. In particular, using the equivariant Rabinowitz Alternative we formulate sufficient conditions for a bifurcation of unbounded sets of solutions.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2007.04024 Zobrazit plný text záznamu View this record from Arxiv