3 papers
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…
math.CA2006
Degenerate bifurcation points of periodic solutions of autonomous Hamiltonian systems
W. Radzki, S. Rybicki
We study connected branches of non-constant {-pe}riodic solutions of the Hamilton equation \begin{displaymath} \dot{x}(t)=λJ\nabla H(x(t)), \end{displaymath} where $λ\in\halfli…