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

Manuscripta Mathematica volume 150, pages 111–135 (2016)Cite this article

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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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, 303 Lockett Hall, Baton Rouge, LA, 70803, USA

    Karthik Adimurthi & Nguyen Cong Phuc

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  1. Karthik Adimurthi
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  2. Nguyen Cong Phuc
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Correspondence to Nguyen Cong Phuc.

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Adimurthi, K., Phuc, N.C. An end-point global gradient weighted estimate for quasilinear equations in non-smooth domains. manuscripta math. 150, 111–135 (2016). https://doi.org/10.1007/s00229-015-0804-0

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  • DOI: https://doi.org/10.1007/s00229-015-0804-0

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