Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems
Analysis of PDEs
2013-02-01 v1
Abstract
We provide a symmetry result for n-mode positive solutions of a general class of semi-linear elliptic systems under cooperative conditions on the nonlinearities. Moreover, we apply the result to a class of H\'enon systems and provide the existence of multiple n-mode positive solutions.
Keywords
Cite
@article{arxiv.1301.7445,
title = {Symmetry of n-mode positive solutions for two-dimensional H\'enon type systems},
author = {Naoki Shioji and Marco Squassina},
journal= {arXiv preprint arXiv:1301.7445},
year = {2013}
}
Comments
8 pages