On the Mean Value Property for the p-Laplace equation in the plane

Abstract

We study the p-Laplace equation in the plane and prove that the mean value property holds directly for the solutions themselves. This removes the need to interpret the formula in the viscosity sense via test functions. The method is based on the hodograph representation.

8 pages

Cited by in corpus (1)

• On the asymptotic mean value property for planar p-harmonic functions