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

Claudio Bonanno

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

Analysis of PDEs 2013-04-12 v4

Authors: Claudio Bonanno

Abstract

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.

Keywords

nonlinear elliptic equations positive solutions multiplicity standing waves nonlinear Schrödinger equation Klein-Gordon equation

Cite

@article{arxiv.0901.4459,
  title  = {Multiplicity of positive solutions for nonlinear field equations in $\R^{N}$},
  author = {Claudio Bonanno},
  journal= {arXiv preprint arXiv:0901.4459},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author due to errors in the applications

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