## Existence of a ground state solution for an elliptic problem with critical growth in an exterior domain

- M. Montenegro, R. Abreu
- Nonlinear Anal
- 2014

1 Excerpt

- Published 2015

In this article, we study the semilinear elliptic equation −∆u = |u|p(x)−2u, x ∈ R u ∈ D(R ), where N ≥ 3, p(x) = ( p, x ∈ Ω 2∗, x 6∈ Ω, with 2 < p < 2∗ := 2N/(N − 2), Ω ⊂ RN is a bounded set with nonempty interior. By using the Nehari manifold, we obtain a positive ground state solution.

@inproceedings{Liu2015GroundSS,
title={Ground State Solutions for Semilinear Elliptic Equations with Zero Mass in R},
author={Jiu Liu and Jia-Feng Liao and Chun-Lei Tang and J.-F. LIAO and C A Tang},
year={2015}
}