We complement a previous result concerning a converse of the mean-value property for smooth superharmonic functions. The case of harmonic functions was treated by Kuran and an improvement was given by Armitage and Goldstein.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-1-7,
author = {Robert Dalmasso},
title = {On the mean-value property of superharmonic functions},
journal = {Annales Polonici Mathematici},
volume = {93},
year = {2008},
pages = {85-90},
zbl = {1135.31002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-1-7}
}
Robert Dalmasso. On the mean-value property of superharmonic functions. Annales Polonici Mathematici, Tome 93 (2008) pp. 85-90. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap93-1-7/