Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\)
type: Item
instance of: scholarly article
title: Multiplicity of solutions for a NLS equations with magnetic fields in \(\mathbb {R}^{N}\)
zbMATH Open document ID: 1301.35144
author: Giovany M. Figueiredo
author: Claudianor O. Alves
published in: Monatshefte für Mathematik
publication date: 2014-09-05T00:00:00Z
full work available at URL: https://arxiv.org/abs/1304.4960
review text: The authors establish existence and 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 Schrödinger equation. The main result is established by using minimax methods and Lusternik-Schnirelman theory of critical points.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 35A15
Mathematics Subject Classification ID: 35C08
Mathematics Subject Classification ID: 35H30
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 58E05
zbMATH DE Number: 6340805
zbMATH Keywords: nonlinear Schrödinger equation
zbMATH Keywords: solitary waves
zbMATH Keywords: electromagnetic fields
zbMATH Keywords: complex-value solutions
zbMATH Keywords: minimax method
zbMATH Keywords: Lusternik-Schnirelman theory
reviewed by: Qin Meng Zhao
MaRDI profile type: Publication
OpenAlex ID: W2098881704
arXiv ID: 1304.4960
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DOI: 10.1007/S00605-013-0598-7
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description: scientific article; zbMATH DE number 6340805