Multiplicity of solutions for a NLS equations with magnetic fields in $\mathbb{R}^{N}$}

Claudianor O. Alves; Giovany M. Figueiredo

paper

Multiplicity of solutions for a NLS equations with magnetic fields in $R^{N}$ }

arXiv:1304.4960

Abstract

We investigate the multiplicity of nontrivial weak solutions for a class of complex equations. This class of problems are related with the existence of solitary waves for a nonlinear Schödinger equation. The main result is established by using minimax methods and Lusternik-Schnirelman theory of critical points.

Multiplicity of solutions for a NLS equations with magnetic fields in RN}

Abstract

Multiplicity of solutions for a NLS equations with magnetic fields in $R^{N}$ }