Inverse mean value property of harmonic functions

DOI10.1007/BF01459493zbMath0794.31001WikidataQ116635907 ScholiaQ116635907MaRDI QIDQ1317999

Wolfhard Hansen, Ivan Netuka

Publication date: 8 September 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165123

zbMATH Keywords

compact subsetsbounded functionfinite Lebesgue measure

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Integration of real functions of several variables: length, area, volume (26B15)

Related Items (7)

Inverse mean value property of solutions to the modified Helmholtz equation ⋮ Corrigendum: ``Inverse mean value property of harmonic functions ⋮ Characterization of balls via solutions of the modified Helmholtz equation ⋮ Polytopes and the mean value property ⋮ Harmonic functions and averages on shells ⋮ ``Potato kugel for nuclear forces and a small one for acoustic waves ⋮ Mean value properties of fractional second order operators

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