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math.AP2021
Bifurcations from degenerate orbits of solutions of nonlinear elliptic systems
Anna Gołębiewska, Joanna Kluczenko, Piotr Stefaniak
The aim of this paper is to study global bifurcations of non-constant solutions of some nonlinear elliptic systems, namely the system on a sphere and the Neumann problem on a ball.…
math.AP2019
Connected sets of solutions of symmetric elliptic systems
Anna Gołębiewska, Sławomir Rybicki, Piotr Stefaniak
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 t…
math.AP2017
Bifurcations from the orbit of solutions of the Neumann problem
Anna Gołębiewska, Joanna Kluczenko, Piotr Stefaniak
The purpose of this paper is to study weak solutions of a nonlinear Neumann problem considered on a ball. Assuming that the potential is invariant, we consider an orbit of critical…