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

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

2009-01-28

arxiv.org/abs/0901.4459v3

Mathematics

Analysis of PDEs

This is a revised version with corrections to previous bugs

Scientific paper

In this paper we study the multiplicity of positive solutions for nonlinear
elliptic equations on $\R^N$. 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
Schr\"odinger and Klein-Gordon equations.

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