Global gradient estimates for a borderline case of double phase problems with measure data

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:501

Article

Byun, Sun-Sig^1,2  Cho, Namkyeong¹  Youn, Yeonghun³ 

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

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

[3] Yeungnam Univ, Dept Math, Gyeongbuk 38541, South Korea

关键词: Measure data problem;    Calderon-Zygmund estimate;    Fractional maximal function;    Non-standard growth;   

DOI  :  10.1016/j.jmaa.2020.124072

来源: Elsevier

【 摘 要 】

We obtain a global Calderon-Zygmund estimate for a borderline case of double phase problems with measure data in terms of the 1-fractional maximal function of the measure. (c) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free