Gradient Estimate for Solutions of Second-Order Elliptic Equations
Analysis of PDEs
2021-11-24 v1
Abstract
We obtain a local estimate for the gradient of solutions to a second-order elliptic equation in divergence form with bounded measurable coefficients that are square-Dini continuous at the single point x=0. In particular, we treat the case of solutions that are not Lipschitz continuous at x=0. We show that our estimate is sharp.
Cite
@article{arxiv.2111.11479,
title = {Gradient Estimate for Solutions of Second-Order Elliptic Equations},
author = {Vladimir Maz'ya and Robert McOwen},
journal= {arXiv preprint arXiv:2111.11479},
year = {2021}
}
Comments
13 pages