A converse of the mean value theorem for harmonic functions

DOI10.1070/RM1981v036n05ABEH003044zbMath0548.31002MaRDI QIDQ3341109

A. A. jun. Kosmodem'yanskij

Publication date: 1981

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

convex region

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15)

Related Items (4)

Inverse mean value property of solutions to the modified Helmholtz equation ⋮ Inverse mean value properties (a survey) ⋮ The isoperimetric inequality via approximation theory and free boundary problems ⋮ Characterization of balls via solutions of the modified Helmholtz equation

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