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arXiv · 1412.7057

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

Karthik Adimurthi·Nguyen Cong Phuc
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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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Karthik Adimurthi, Nguyen Cong Phuc. 2014-12-22. An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains. https://arxiv.org/abs/1412.7057

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