Showing math.APShow all
3 papers · 1 filter
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
Rabinowitz alternative for non-cooperative elliptic systems on geodesic balls
Sławomir Rybicki, Naoki Shioji, Piotr Stefaniak
The purpose of this paper is to study properties of continua (closed connected sets) of nontrivial solutions of non-cooperative elliptic systems considered on geodesic balls in $S^…
math.AP2006
Existence and continuation of solutions for a nonlinear Neumann problem
K. Muchewicz, S. Rybicki
In this article we study the existence, continuation and bifurcation from infinity of nonconstant solutions for a nonlinear Neumann problem. We apply the Leray-Schauder degree and…