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Funktsional'nyi Analiz i ego Prilozheniya, 2003, Volume 37, Issue 2, Pages 75–80
DOI: https://doi.org/10.4213/faa150 (Mi faa150) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On Functionals Bounded Below

W. Zoua, M. Schechterb

a Tsinghua University
b University of California, Irvine
Full-text PDF (122 kB) Citations (1)
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DOI: https://doi.org/10.4213/faa150
Abstract: In this paper, we prove that the infimum of a functional with a lower bound is a critical value. The novelty is that we do not need the Palais–Smale type condition.
Keywords: lower boundedness, critical point, eigenvalue.
Received: 12.02.2002
English version:
Functional Analysis and Its Applications, 2003, Volume 37, Issue 2, Pages 142–146
DOI: https://doi.org/10.1023/A:1024461007930
Bibliographic databases:
Document Type: Article
UDC: 517.988.3
Language: Russian
Citation: W. Zou, M. Schechter, “On Functionals Bounded Below”, Funktsional. Anal. i Prilozhen., 37:2 (2003), 75–80; Funct. Anal. Appl., 37:2 (2003), 142–146
Citation in format AMSBIB
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\jour Funct. Anal. Appl.
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\pages 142--146
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  • https://www.mathnet.ru/eng/faa150
  • https://doi.org/10.4213/faa150
  • https://www.mathnet.ru/eng/faa/v37/i2/p75
    • This publication is cited in the following 1 articles:
    1. Candito P., Livrea R., Motreanu D., “Bounded Palais-Smale sequences for non-differentiable functions”, Nonlinear Analysis-Theory Methods & Applications, 74:16 (2011), 5446–5454  crossref  mathscinet  zmath  isi  scopus
    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
    Statistics & downloads:
    Abstract page:381
    Full-text PDF :130
    References:58
     
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