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arXiv · 1704.07518

Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem

Brian Benson·Ivan Blank·Jeremy LeCrone
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Abstract

We develop some of the basic theory for the obstacle problem on Riemannian Manifolds, and we use it to establish a mean value theorem. Our mean value theorem works for a very wide class of Riemannian manifolds and has no weights at all within the integral.

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Brian Benson, Ivan Blank, Jeremy LeCrone. 2017-04-25. Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem. https://arxiv.org/abs/1704.07518

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