Wolff potentials and measure data vectorial problems with Orlicz growth
Analysis of PDEs
2021-02-19 v1
Abstract
We study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on the spacial variable, and exposing doubling Orlicz growth with respect to the second variable. Pointwise estimates for the solutions that we provide are expressed in terms of a nonlinear potential of generalized Wolff type. Not only we retrieve the recent sharp results proven for -Laplace systems, but additionally our study covers the natural scope of operators with similar structure and natural class of Orlicz growth.
Keywords
Cite
@article{arxiv.2102.09313,
title = {Wolff potentials and measure data vectorial problems with Orlicz growth},
author = {Iwona Chlebicka and Yeonghun Youn and Anna Zatorska-Goldstein},
journal= {arXiv preprint arXiv:2102.09313},
year = {2021}
}
Comments
Vectorial extension of arXiv:2006.02172