Rabinowitz Alternative for Non-cooperative Elliptic Systems on Geodesic Balls

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 Sn{S^{n}}. In particular, we show that if the geodesic ball is a hemisphere, then all these continua are unbounded. It is a...

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Bibliographic Details
Main Authors: Rybicki Sławomir, Shioji Naoki, Stefaniak Piotr
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2018-0012