Singular elliptic measure data problems with irregular obstacles
Analysis of PDEs
2023-09-19 v1
Abstract
We investigate elliptic irregular obstacle problems with -growth involving measure data. Emphasis is on the strongly singular case , and we obtain several new comparison estimates to prove gradient potential estimates in an intrinsic form. Our approach can be also applied to derive zero-order potential estimates.
Cite
@article{arxiv.2309.09835,
title = {Singular elliptic measure data problems with irregular obstacles},
author = {Sun-Sig Byun and Kyeong Song and Yeonghun Youn},
journal= {arXiv preprint arXiv:2309.09835},
year = {2023}
}