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arXiv · 1409.0241

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

Peter Lindqvist·Juan Manfredi
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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.

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Peter Lindqvist, Juan Manfredi. 2014-08-31. On the Mean Value Property for the p-Laplace equation in the plane. https://arxiv.org/abs/1409.0241

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