Gradient estimates for nonlinear elliptic equations with first order terms
Analysis of PDEs
2021-06-16 v2
Abstract
We study existence and Lorentz regularity of distributional solutions to elliptic equations with either a convection or a drift first order term. The presence of such a term makes the problem not coercive. The main tools are pointwise estimates of the rearrangements of both the solution and its gradient.
Cite
@article{arxiv.1901.02673,
title = {Gradient estimates for nonlinear elliptic equations with first order terms},
author = {Stefano Buccheri},
journal= {arXiv preprint arXiv:1901.02673},
year = {2021}
}