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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2020, Volume 308, Pages 7–27
DOI: https://doi.org/10.4213/tm4047 (Mi tm4047) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Hölder Continuity and Harnack's Inequality for $p(x)$-Harmonic Functions

Yu. A. Alkhutova, M. D. Surnachevb

a Vladimir State University Named after Alexander and Nikolay Stoletovs, ul. Gor'kogo 87, Vladimir, 600000 Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047 Russia
Full-text PDF (265 kB) Citations (6)
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DOI: https://doi.org/10.4213/tm4047
Abstract: A sufficient condition for a measurable exponent $p(x)$ is obtained that implies the Hölder continuity and Harnack's inequality for $p(x)$-harmonic functions.
Funding agency Grant number
Russian Foundation for Basic Research 19-01-00184
This work was supported by the Russian Foundation for Basic Research, project no. 19-01-00184.
Received: April 1, 2019
Revised: August 13, 2019
Accepted: November 5, 2019
English version:
Proceedings of the Steklov Institute of Mathematics, 2020, Volume 308, Pages 1–21
DOI: https://doi.org/10.1134/S0081543820010010
Bibliographic databases:
Document Type: Article
UDC: 517.956.25
Language: Russian
Citation: Yu. A. Alkhutov, M. D. Surnachev, “Hölder Continuity and Harnack's Inequality for $p(x)$-Harmonic Functions”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 308, Steklov Math. Inst. RAS, Moscow, 2020, 7–27; Proc. Steklov Inst. Math., 308 (2020), 1–21
Citation in format AMSBIB
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\bookinfo Collected papers
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\pages 7--27
\publ Steklov Math. Inst. RAS
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    • This publication is cited in the following 6 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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