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

Abstract

A weighted norm inequality involving $A_1$ 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.

26 pages

References in corpus (1)

• Global Lorentz and Lorentz-Morrey estimates below the natural exponent for quasilinear equations