An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains

Document Type

Article

Publication Date

5-1-2016

Abstract

A weighted norm inequality involving A1 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.

Publication Source (Journal or Book title)

Manuscripta Mathematica

First Page

111

Last Page

135

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