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arXiv · 1911.12632

Connected sets of solutions of symmetric elliptic systems

Anna Gołębiewska·Sławomir Rybicki·Piotr Stefaniak
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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.

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Anna Gołębiewska, Sławomir Rybicki, Piotr Stefaniak. 2019-11-28. Connected sets of solutions of symmetric elliptic systems. https://arxiv.org/abs/1911.12632

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