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Funktsional'nyi Analiz i ego Prilozheniya, 2007, Volume 41, Issue 1, Pages 23–38
DOI: https://doi.org/10.4213/faa1761 (Mi faa1761) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Bifurcation Calculus by the Extended Functional Method

Ya. Sh. Il'yasov

Bashkir State University
Full-text PDF (267 kB) Citations (16)
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DOI: https://doi.org/10.4213/faa1761
Abstract: We justify variational principles of a new type corresponding to bifurcations of solutions for families of equations given in variational form. To illustrate the method, we consider elliptic equations with sign-indefinite nonlinearities and prove the existence of pairwise creation-annihilation bifurcations of their positive solutions. The corresponding bifurcation points are expressed via explicitly specified variational principles.
Keywords: bifurcation of solutions, minimax problem, elliptic equation, sign-indefinite nonlinearity.
Received: 10.06.2005
English version:
Functional Analysis and Its Applications, 2007, Volume 41, Issue 1, Pages 18–30
DOI: https://doi.org/10.1007/s10688-007-0002-2
Bibliographic databases:
Document Type: Article
UDC: 517.957+517.972.5
Language: Russian
Citation: Ya. Sh. Il'yasov, “Bifurcation Calculus by the Extended Functional Method”, Funktsional. Anal. i Prilozhen., 41:1 (2007), 23–38; Funct. Anal. Appl., 41:1 (2007), 18–30
Citation in format AMSBIB
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    • This publication is cited in the following 16 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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    References:69
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