Multiplicity of solutions for a NLS equations with magnetic fields in $\mathbb{R}^{N}$}
Analysis of PDEs
2013-04-19 v1
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 Sch\"{o}dinger equation. The main result is established by using minimax methods and Lusternik-Schnirelman theory of critical points.
Keywords
Cite
@article{arxiv.1304.4960,
title = {Multiplicity of solutions for a NLS equations with magnetic fields in $\mathbb{R}^{N}$}},
author = {Claudianor O. Alves and Giovany M. Figueiredo},
journal= {arXiv preprint arXiv:1304.4960},
year = {2013}
}