Ground state solution of a noncooperative elliptic system
Analysis of PDEs
2013-09-02 v2 Dynamical Systems
Abstract
In this paper, we study the existence of a ground state solution, that is, a non trivial solution with least energy, of a noncooperative semilinear elliptic system on a bounded domain. By using the method of the generalized Nehari manifold developed recently by Szulkin and Weth, we prove the existence of a ground state solution when the nonlinearity is subcritical and satisfies a weak superquadratic condition.
Cite
@article{arxiv.1210.7876,
title = {Ground state solution of a noncooperative elliptic system},
author = {Cyril Joel Batkam},
journal= {arXiv preprint arXiv:1210.7876},
year = {2013}
}
Comments
9 pages