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

2013/04/17 by Claudianor O. Alves, Alves, Claudianor O., Giovany M. Figueiredo +1 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1304.4960

arxiv created 2013/04/17 · arxiv updated 2013/04/19

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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• Multiple solutions for a quasilinear Schrödinger equation on ℝ^N

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