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arXiv · 1210.7876

Ground state solution of a noncooperative elliptic system

Cyril Joel Batkam
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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.

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Cyril Joel Batkam. 2013-08-30. Ground state solution of a noncooperative elliptic system. https://doi.org/10.7153/dea-05-15

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