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Matematicheskie Trudy, 2013, Volume 16, Number 2, Pages 69–88 (Mi mt260)  
This article is cited in 19 scientific papers (total in 19 papers)

On the mean value property for polyharmonic functions in the ball

V. V. Karachik

South Ural State University, Chelyabinsk, Russia
Full-text PDF (223 kB) Citations (19)
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Abstract: We obtain the mean value property for the normal derivatives of a polyharmonic function with respect to the unit sphere. We find the values of a polyharmonic function and its Laplacians at the center of the unit ball expressed via the integrals of the normal derivatives of this function over the unit sphere.
Key words: polyharmonic function, mean value property, normal derivatives on the sphere.
Received: 15.04.2013
English version:
Siberian Advances in Mathematics, 2014, Volume 24, Issue 3, Pages 169–182
DOI: https://doi.org/10.3103/S1055134414030031
Bibliographic databases:
Document Type: Article
UDC: 517.575
Language: Russian
Citation: V. V. Karachik, “On the mean value property for polyharmonic functions in the ball”, Mat. Tr., 16:2 (2013), 69–88; Siberian Adv. Math., 24:3 (2014), 169–182
Citation in format AMSBIB
\Bibitem{Kar13}
\by V.~V.~Karachik
\paper On the mean value property for polyharmonic functions in the ball
\jour Mat. Tr.
\yr 2013
\vol 16
\issue 2
\pages 69--88
\mathnet{http://mi.mathnet.ru/mt260}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3184038}
\transl
\jour Siberian Adv. Math.
\yr 2014
\vol 24
\issue 3
\pages 169--182
\crossref{https://doi.org/10.3103/S1055134414030031}
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    This publication is cited in the following 19 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
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    Abstract page:359
    Full-text PDF :120
    References:60
    First page:5
     
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