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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…
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^…