On the mean value property for the š¯‘¯-Laplace equation in the plane
Peter Lindqvist, Juan J. Manfredi Ā· Proceedings of the American Mathematical Society Ā· 2015
We study the p p -Laplace equation in the plane and prove that the mean value property holds directly for the solutions themselves for 1 > p > 9.525... 1>p>9.525... . This removes the need to interpret the formula in the viscosity sense via test functions. The method is based on the hodograph representation.