Symmetry breaking of solutions of non-cooperative elliptic systems
Piotr Stefaniak
TL;DR
This paper investigates how solutions to non-cooperative elliptic systems can lose symmetry, using advanced degree theory to identify symmetry breaking and bifurcation points.
Contribution
It introduces a novel application of degree theory for G-invariant functionals to analyze symmetry breaking and bifurcations in elliptic systems.
Findings
Identification of symmetry breaking solutions
Existence of global bifurcation phenomena
Application of degree theory to non-cooperative systems
Abstract
In this article we study the symmetry breaking phenomenon of solutions of noncooperative elliptic systems. We apply the degree for G-invariant strongly indefinite functionals to obtain simultaneously a symmetry breaking and a global bifurcation phenomenon.
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