Ground State Solutions for Semilinear Elliptic Equations with Zero Mass in R

Abstract

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.

Cite this paper

@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} }