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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 2, Pages 1015–1022
DOI: https://doi.org/10.33048/semi.2021.18.076 (Mi semr1417) 		 
Real, complex and functional analysis

Extremality of $p$-harmonic functions in $R^2$

A. S. Romanov

Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
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DOI: https://doi.org/10.33048/semi.2021.18.076
Abstract: We consider the question of the relationship between $p$-harmonic functions and extremal functions for p-capacity in $R^2.$
Keywords: Sobolev spaces, $p$-harmonic functions, capacity, extremal functions.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 0314-2019-0007
Received June 17, 2021, published September 29, 2021
Bibliographic databases:
Document Type: Article
UDC: 517.51, 517.54
MSC: 30C65, 46E35
Language: Russian
Citation: A. S. Romanov, “Extremality of $p$-harmonic functions in $R^2$”, Sib. Èlektron. Mat. Izv., 18:2 (2021), 1015–1022
Citation in format AMSBIB
\Bibitem{Rom21}
\by A.~S.~Romanov
\paper Extremality of $p$-harmonic functions in $R^2$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 2
\pages 1015--1022
\mathnet{http://mi.mathnet.ru/semr1417}
\crossref{https://doi.org/10.33048/semi.2021.18.076}
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