9 papers
Periodic solutions to symmetric Newtonian systems in neighborhoods of orbits of equilibria
Anna Gołębiewska, Marta Kowalczyk, Sławomir Rybicki +1
The aim of this paper is to prove the existence of periodic solutions to symmetric Newtonian systems in any neighborhood of an isolated orbit of equilibria. Applying equivariant bi…
Wavelet methods in partial differential equations on spheres
{Ilona Iglewska-Nowak, Piotr Stefaniak
We propose a method of solving partial differential equations on the -dimen\-sional unit sphere with methods based on the continuous wavelet transform derived from approximate i…
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.…
Structure of sets of solutions of parametrised semi-linear elliptic systems on spheres
Anna Gołębiewska, Piotr Stefaniak
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 st…
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…
Global bifurcation index of critical orbit of strongly indefinite functional
Anna Gołębiewska, Piotr Stefaniak
In this paper we study an index of a critical orbit, defined in terms of the degree for invariant strongly indefinite functionals. We establish a relationship of this index with th…