A symmetry result for semilinear cooperative elliptic systems
Analysis of PDEs
2016-11-26 v1
Abstract
In this paper we prove symmetry results for classical solutions of nonlinear cooperative elliptic systems in a ball or in annulus in R^N, with N greather or equal than 2. More precisely we prove that solutions having Morse index j smaller than N are foliated Schwarz symmetric if the nonlinearity has a convex derivative and a full coupling condition is satisfied along the solution.
Keywords
Cite
@article{arxiv.1209.5581,
title = {A symmetry result for semilinear cooperative elliptic systems},
author = {L. Damascelli and F. Gladiali and F. Pacella},
journal= {arXiv preprint arXiv:1209.5581},
year = {2016}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1206.3926