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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 7–15 (Mi tm735)  
This article is cited in 22 scientific papers (total in 22 papers)

On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity

Yu. A. Alkhutov, O. V. Krasheninnikova

Vladimir State Pedagogical University
Full-text PDF (183 kB) Citations (22)
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Abstract: We study the $p$-Laplacian with variable exponent $p(x)$ bounded away from unity and infinity. We obtain a sufficient condition on $p(x)$ under which all solutions of the $p$-Laplace equation are continuous at a fixed point of a domain, and find an estimate for the modulus of continuity of solutions.
Received in March 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 261, Pages 1–10
DOI: https://doi.org/10.1134/S0081543808020016
Bibliographic databases:
UDC: 517.956.25
Language: Russian
Citation: Yu. A. Alkhutov, O. V. Krasheninnikova, “On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 7–15; Proc. Steklov Inst. Math., 261 (2008), 1–10
Citation in format AMSBIB
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\paper On the Continuity of Solutions to Elliptic Equations with Variable Order of Nonlinearity
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
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\vol 261
\pages 7--15
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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