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Algebra i Analiz, 2010, Volume 22, Issue 3, Pages 206–221 (Mi aa1193)  
This article is cited in 8 scientific papers (total in 8 papers)

Research Papers

Multiplicity of solutions of the Dirichlet problem for an equation with the $p$-Laplacian in a three-dimensional spherical layer

S. B. Kolonitskiĭ

St. Petersburg State University, Department of Mathematics and Mechanics, St. Petersburg, Russia
Full-text PDF (640 kB) Citations (8)
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Abstract: The equation $-\Delta_pu=u^{q-1}$ with zero Dirichlet condition on the boundary is considered in a three-dimensional spherical layer. The existence of arbitrarily many distinct positive solutions in a sufficiently thin layer is proved.
Keywords: $p$-Laplacian, existence of many solutions.
Received: 22.09.2009
English version:
St. Petersburg Mathematical Journal, 2011, Volume 22, Issue 3, Pages 485–495
DOI: https://doi.org/10.1090/S1061-0022-2011-01154-9
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. B. Kolonitskiǐ, “Multiplicity of solutions of the Dirichlet problem for an equation with the $p$-Laplacian in a three-dimensional spherical layer”, Algebra i Analiz, 22:3 (2010), 206–221; St. Petersburg Math. J., 22:3 (2011), 485–495
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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