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Title: Infinitely many solutions for the nonlinear Schrödinger equations with magnetic potentials in R{sup N}

In this paper, we study a nonlinear Schrödinger equations with magnetic potentials in R{sup N} involving subcritical growth. Under some decaying and weak symmetry conditions of both electric and magnetic potentials, we prove that the equation has infinitely many nonradial complex-valued solutions by applying the finite reduction method.
Authors:
;  [1]
  1. School of Mathematics and Statistics, Central China Normal University, Wuhan 430079 (China)
Publication Date:
OSTI Identifier:
22250910
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 54; Journal Issue: 12; Other Information: (c) 2013 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EQUATIONS; MATHEMATICAL SOLUTIONS; NONLINEAR PROBLEMS; POTENTIALS; SYMMETRY