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

preprint2013arXivOpen access

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.

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