International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 57340, 3 pages

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

Received 19 October 2005; Revised 25 January 2006; Accepted 16 February 2006

Copyright © 2006 Robert Dalmasso. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.