arXiv:1409.0241 Abstract | arXiv Analytics

arXiv:1409.0241 [math.AP]Abstract References Reviews Resources

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

Published 2014-08-31Version 1

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.

Comments: 8 pages

Categories: math.AP

Subjects: 35J92, 35J62

Keywords: p-laplace equation, mean value property holds, viscosity sense, hodograph representation, test functions

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