On the mean-value property of superharmonic functions

Robert Dalmasso (1)

1 EDP - Equations aux Dérivées Partielles

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.

Domaines: Equations aux dérivées partielles [math.AP]

Robert Dalmasso. On the mean-value property of superharmonic functions. Annales Polonici Mathematici, 2008, 93 (1), pp.85-90. ⟨10.4064/ap93-1-7⟩. ⟨hal-00383205⟩