Calderón–Zygmund Estimates for the Fractional p-LaplacianCalderón–Zygmund Estimates for the Fractional p-LaplacianL. Diening, S. Nowak

被引：0

作者：

Lars Diening ^{[1
]}

Simon Nowak ^{[1
]}

机构：

[1] Universität Bielefeld,Fakultät für Mathematik

来源：

Annals of PDE | 2025年 / 11卷 / 1期

关键词：

Nonlocal equations; Fractional ; -Laplacian; Regularity; Calderón-Zygmund estimates; Fractional maximal functions; Primary 35R09, 35B65; Secondary 35D30, 47G20;

D O I：

10.1007/s40818-025-00196-1

中图分类号：

学科分类号：

摘要：

We prove fine higher regularity results of Calderón-Zygmund-type for equations involving nonlocal operators modelled on the fractional p-Laplacian with possibly discontinuous coefficients of VMO-type. We accomplish this by establishing precise pointwise bounds in terms of certain fractional sharp maximal functions. This approach is new already in the linear setting and enables us to deduce sharp regularity results also in borderline cases.

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