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Global Maximal Regularity for Equations with Degenerate Weights by Balci, Anna Kh.; Byun, Sun-Sig; Diening, Lars; Lee, Ho-Sik is a scholarly article available to read on EtoBox.

What is Global Maximal Regularity for Equations with Degenerate Weights about?

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.

Author

Balci, Anna Kh.; Byun, Sun-Sig; Diening, Lars; Lee, Ho-Sik

Published

2022

Language

EN