Higher integrability for obstacle problem related to the singular porous medium equation
Analysis of PDEs
2020-04-15 v1
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 -th power of nonnegative weak solutions, under some suitable regularity assumptions on the obstacle function.
Keywords
Cite
@article{arxiv.2004.06177,
title = {Higher integrability for obstacle problem related to the singular porous medium equation},
author = {Qifan Li},
journal= {arXiv preprint arXiv:2004.06177},
year = {2020}
}