International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 2, Article ID 57340, 3 pages
doi:10.1155/IJMMS/2006/57340

On the mean value property of superharmonic and subharmonic functions

Robert Dalmasso

Laboratoire LMC-IMAG, Equipe EDP, Tour IRMA, BP 53, Grenoble Cedex 9 38041, France

Abstract

We prove a converse of the mean value property for superharmonic and subharmonic functions. The case of harmonic functions was treated by Epstein and Schiffer.