Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590411 | Journal of Functional Analysis | 2014 | 38 Pages |
Abstract
In this paper we obtain a new global gradient estimates in weighted Lorentz spaces for weak solutions of p(x)p(x)-Laplacian type equation with small BMO coefficients in a δ-Reifenberg flat domain. The modified Vitali covering lemma, the maximal function technique and the appropriate localization method are the main analytical tools. Our results improve the known results for such equations.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Chao Zhang, Shulin Zhou,