Higher integrability for obstacle problem related to the singular porous medium equation

Published 13 Apr 2020 in math.AP | (2004.06177v1)

Abstract: This paper is concerned with the self-improving property for obstacle problem related to the singular porous medium equation. We establish a local higher integrability result for the spatial gradient of the $m$-th power of nonnegative weak solutions, under some suitable regularity assumptions on the obstacle function.

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Authors (1)

Qifan Li

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