Nonlinear gradient estimates for elliptic double obstacle problems with measure data
Analysis of PDEs
2021-05-25 v2
Abstract
We study quasilinear elliptic double obstacle problems with a variable exponent growth when the right-hand side is a measure. A global Calder\'{o}n-Zygmund estimate for the gradient of an approximable solution is obtained in terms of the associated double obstacles and a given measure, identifying minimal requirements for the regularity estimate.
Keywords
Cite
@article{arxiv.1912.04073,
title = {Nonlinear gradient estimates for elliptic double obstacle problems with measure data},
author = {Sun-Sig Byun and Yumi Cho and Jung-Tae Park},
journal= {arXiv preprint arXiv:1912.04073},
year = {2021}
}
Comments
26 pages, typos corrected