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

Published 22 Dec 2014 in math.AP | (1412.7057v1)

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.

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