Riesz potential estimates for double obstacle problems with Orlicz growth
Analysis of PDEs
2024-05-31 v1
Abstract
In this paper, we consider the solutions to the non-homogeneous double obstacle problems with Orlicz growth involving measure data. After establishing the existence of the solutions to this problem in the Orlicz-Sobolev space, we derive a pointwise gradient estimate for these solutions by Riesz potential, which leads to the result on the regularity criterion.
Keywords
Cite
@article{arxiv.2405.19621,
title = {Riesz potential estimates for double obstacle problems with Orlicz growth},
author = {Qi Xiong and Zhenqiu Zhang and Lingwei Ma},
journal= {arXiv preprint arXiv:2405.19621},
year = {2024}
}