Symmetry results for cooperative elliptic systems in unbounded domains
Analysis of PDEs
2013-06-07 v2
Abstract
In this paper we prove symmetry results for classical solutions of semilinear cooperative elliptic systems in R^N, or in the exterior of a ball. We consider the case of fully coupled systems and nonlinearities which are either convex or have a convex derivative. The solutions are shown to be foliated Schwarz symmetric if a bound on their Morse index holds. As a consequence of the symmetry results we also obtain some nonexistence theorems.
Keywords
Cite
@article{arxiv.1212.4647,
title = {Symmetry results for cooperative elliptic systems in unbounded domains},
author = {Lucio Damascelli and Francesca Gladiali and Filomena Pacella},
journal= {arXiv preprint arXiv:1212.4647},
year = {2013}
}
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28 pages