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