3 papers
math.DS2021
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…
math.AP2020
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…
math.AP2018
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…