Global Maximal Regularity for Equations with Degenerate Weights
Analysis of PDEs
2022-01-11 v1
Abstract
In this paper we are concerned with global maximal regularity estimates for elliptic equations with degenerate weights. We consider both the linear case and the non-linear case. We show that higher integrability of the gradients can be obtained by imposing a local small oscillation condition on the weight and a local small Lipschitz condition on the boundary of the domain. Our results are new in the linear and non-linear case. We show by example that the relation between the exponent of higher integrability and the smallness parameters is sharp even in the linear or the unweighted case.
Cite
@article{arxiv.2201.03524,
title = {Global Maximal Regularity for Equations with Degenerate Weights},
author = {Anna Kh. Balci and Sun-Sig Byun and Lars Diening and Ho-Sik Lee},
journal= {arXiv preprint arXiv:2201.03524},
year = {2022}
}