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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 1, Pages 88–91
DOI: https://doi.org/10.4213/faa141 (Mi faa141) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Brief communications

On Nontrivial Solutions of a Nonlinear Schrödinger Equation with Magnetic Field

A. A. Pankov

Vinnitsa State Pedagogical University
Full-text PDF (112 kB) Citations (17)
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DOI: https://doi.org/10.4213/faa141
Abstract: We consider nonlinear magnetic Schrödinger equations under assumptions that imply the Palais–Smale condition for the corresponding functional and prove some results on the existence and multiplicity of solutions vanishing at infinity.
Keywords: nonlinear Schrödinger equation, Palais–Smale condition, multiplicity.
Received: 05.03.2002
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 1, Pages 75–77
DOI: https://doi.org/10.1023/A:1022984313164
Bibliographic databases:
Document Type: Article
UDC: 517.97
Language: Russian
Citation: A. A. Pankov, “On Nontrivial Solutions of a Nonlinear Schrödinger Equation with Magnetic Field”, Funktsional. Anal. i Prilozhen., 37:1 (2003), 88–91; Funct. Anal. Appl., 37:1 (2003), 75–77
Citation in format AMSBIB
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  • https://doi.org/10.4213/faa141
  • https://www.mathnet.ru/eng/faa/v37/i1/p88
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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