Global W1,p(·) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains

In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.

Bibliographic Details
Published in:Advances in Nonlinear Analysis
Main Author: Bui The Anh
Format: Article
Language:English
Published: De Gruyter 2018-11-01
Subjects:
quasilinear equation
measure data
renormalized solution
generalized lebesgue space
35j60
35j62
Online Access:https://doi.org/10.1515/anona-2016-0095
Description
Summary:In this paper, we prove the gradient estimate for renormalized solutions to quasilinear elliptic equations with measure data on variable exponent Lebesgue spaces with BMO coefficients in a Reifenberg flat domain.
ISSN:2191-9496
2191-950X

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