Global W 1, p (·) estimate for renormalized solutions of quasilinear equations with measure data on Reifenberg domains

Advances in Nonlinear Analysis

article

The Anh Bui¹ 

[1] Department of Mathematics, Macquarie University

关键词: Quasilinear equation;    measure data;    renormalized solution;    generalized Lebesgue space;   

DOI  :  10.1515/anona-2016-0095

学科分类：社会科学、人文和艺术（综合）

来源: De Gruyter

【 摘 要 】

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.

【 授权许可】

CC BY