A sharp estimate a la calderon-zygmund for the p--laplacian
Analysis of PDEs
2016-07-25 v1
Abstract
We consider local weak solutions of the Poisson equation for the p--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.
Keywords
Cite
@article{arxiv.1607.06648,
title = {A sharp estimate a la calderon-zygmund for the p--laplacian},
author = {Lorenzo Brasco and Filippo Santambrogio},
journal= {arXiv preprint arXiv:1607.06648},
year = {2016}
}