Multiplicity of positive solutions for nonlinear field equations in ${\mathbb{R}}^N$

Abstract

In this paper we study the multiplicity of positive solutions for nonlinear elliptic equations on ${\mathbb{R}}^N$. The number of solutions is greater or equal than the number of disjoint intervals on which the nonlinear term is negative. Applications are given to multiplicity of standing waves for the nonlinear Schrödinger and Klein-Gordon equations.

This paper has been withdrawn by the author due to errors in the applications

References in corpus (1)

• Solitons for the nonlinear Klein-Gordon equation

Cited by in corpus (1)

• Existence and multiplicity of stable bound states for the nonlinear Klein-Gordon equation