A note on gradient estimates for p-Laplacian equations
Analysis of PDEs
2023-02-24 v1
Abstract
The aim of this short paper is to show that some assumptions in [10] can be relaxed and even dropped when looking for weak solutions instead of strong ones. This improvement is a consequence of two results concerning gradient terms: an estimate, which exploits nonlinear potential theory, and a compactness result, based on the classical Riesz-Fr\'echet-Kolmogorov theorem.
Cite
@article{arxiv.2302.11927,
title = {A note on gradient estimates for p-Laplacian equations},
author = {Umberto Guarnotta and Salvatore A. Marano},
journal= {arXiv preprint arXiv:2302.11927},
year = {2023}
}