Existence and multiplicity of positive solutions for indefinite semilinear elliptic problems in R^N

Abstract

In this article, we study a class of indefinite semilinear elliptic problems in R^N. By using the fibering maps and studying some properties of the Nehari manifold, we obtain the existence and multiplicity of positive solutions.

Keywords

• Ground state solutions
• multiple positive solutions
• Nehari manifold
• variational method