Asymmetric elliptic problems in $R^N$

Abstract

We work on the whole $R^N$ and prove the existence of a first nonprincipal eigenvalue for an asymmetric problem with weights involving the p-Laplacian. As an application we obtain a first nontrivial curve in the corresponding Fucik spectrum.

Keywords

• Principal eigenvalue
• indefinite weight
• unbounded domain
• p-Laplacian
• Fucik spectrum.