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arXiv · 2004.06177

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

Qifan Li
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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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Qifan Li. 2020-04-13. Higher integrability for obstacle problem related to the singular porous medium equation. https://arxiv.org/abs/2004.06177

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