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math.AP2017
Geometry of mean value sets for general divergence form uniformly elliptic operators
Ashok Aryal, Ivan Blank
In the Fermi Lectures on the obstacle problem in 1998, Caffarelli gave a proof of the mean value theorem which extends to general divergence form uniformly elliptic operators. In t…
math.DG2017
Mean Value Theorems for Riemannian Manifolds via the Obstacle Problem
Brian Benson, Ivan Blank, Jeremy LeCrone
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…