Riesz potential estimates for a class of double phase problems

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:264

Article

Byun, Sun-Sig^1,2  Youn, Yeonghun¹ 

[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea

[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea

关键词: Riesz potential estimate;    Measure data problem;    Gradient estimate;    Anisotropic problem;   

DOI  :  10.1016/j.jde.2017.09.038

来源: Elsevier

【 摘 要 】

A double phase problem with a bounded Borel measure on the right hand side is studied. We prove an optimal pointwise gradient estimate for such a measure data problem via Riesz potentials of the measure under log-Dini continuity assumption on the modulating coefficients. As a consequence, we find an optimized C-1 regularity criterion. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free