An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains
Analysis of PDEs
2014-12-23 v1
Abstract
A weighted norm inequality involving weights is obtained at the natural exponent for gradients of solutions to quasilinear elliptic equations in Reifenberg flat domains. Certain gradient estimates in Lorentz-Morrey spaces below the natural exponent are also obtained as a consequence of our analysis.
Keywords
Cite
@article{arxiv.1412.7057,
title = {An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains},
author = {Karthik Adimurthi and Nguyen Cong Phuc},
journal= {arXiv preprint arXiv:1412.7057},
year = {2014}
}
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26 pages