A sharp estimate à la Calderón–Zygmund for the p-Laplacian-Reference-Cited by-同舟云学术

A sharp estimate à la Calderón–Zygmund for the p-Laplacian

Published:2018-02-21 Issue:03 Volume:20 Page:1750030
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

Brasco Lorenzo¹²,Santambrogio Filippo³

Affiliation:

1. Dipartimento di Matematica e Informatica, Università degli Studi di Ferrara, 44121 Ferrara, Italy

2. Aix-Marseille Univ., CNRS, Centrale Marseille, I2M, UMR 7373, 39 Rue Frédéric Joliot Curie, 13453 Marseille, France

3. Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, CNRS, Université, Paris-Saclay, 91405 Orsay Cedex, France

Abstract

We consider local weak solutions of the Poisson equation for the [Formula: see text]-Laplace operator. We prove a higher differentiability result, under an essentially sharp condition on the right-hand side. The result comes with a local scaling invariant a priori estimate.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199717500304

Reference11 articles.

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2. Higher Sobolev regularity for the fractional p-Laplace equation in the superquadratic case

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