Calderon-Zygmund estimates for generalized double phase problems

被引：28
作者：
Baasandorj, Sumiya [1 ]
Byun, Sun-Sig [1 ,2 ]
Oh, Jehan [3 ]
机构：
[1] Seoul Natl Univ, Dept Math Sci, Seoul 08826, South Korea
[2] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
[3] Kyungpook Natl Univ, Dept Math, Daegu 41566, South Korea
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 2020年 / 279卷 / 07期
关键词：
Calderon-Zygmund theory; Double phase problem; Gradient estimates; Non-standard growth; ORLICZ SPACES; ELLIPTIC-EQUATIONS; NONSTANDARD GROWTH; REGULARITY THEORY; MINIMIZERS; GRADIENT; FUNCTIONALS; INTEGRALS; CALCULUS; SYSTEMS;
D O I：
10.1016/j.jfa.2020.108670
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove Calderon-Zygmund type estimates for distributional solutions to non-uniformly elliptic equations of generalized double phase type in divergence form. In particular, we provide sharp conditions on the nonlinear operators to establish the Calderon-Zygmund type estimates. (C) 2020 Elsevier Inc. All rights reserved.
引用
收藏
页数：57
相关论文
共 58 条
  • [1] Gradient estimates for a class of parabolic systems
    Acerbi, Emilio
    Mingione, Giuseppe
    [J]. DUKE MATHEMATICAL JOURNAL, 2007, 136 (02) : 285 - 320
  • [2] [Anonymous], 2003, SOBOLEV SPACES
  • [3] [Anonymous], 2003, DIRECT METHODS CALCU, DOI DOI 10.1142/5002
  • [4] [Anonymous], 1977, GRUNDLEHREN MATH WIS
  • [5] [Anonymous], 2013, Adv. Dyn. Syst. Appl.
  • [6] NON-AUTONOMOUS FUNCTIONALS, BORDERLINE CASES AND RELATED FUNCTION CLASSES
    Baroni, P.
    Colombo, M.
    Mingione, G.
    [J]. ST PETERSBURG MATHEMATICAL JOURNAL, 2016, 27 (03) : 347 - 379
  • [7] Regularity for general functionals with double phase
    Baroni, Paolo
    Colombo, Maria
    Mingione, Giuseppe
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2018, 57 (02)
  • [8] Harnack inequalities for double phase functionals
    Baroni, Paolo
    Colombo, Maria
    Mingione, Giuseppe
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2015, 121 : 206 - 222
  • [9] Lipschitz Bounds and Nonuniform Ellipticity
    Beck, Lisa
    Mingione, Giuseppe
    [J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2020, 73 (05) : 944 - 1034
  • [10] Variational inequalities in Musielak-Orlicz-Sobolev spaces
    Benkirane, A.
    El Vally, M. Sidi
    [J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2014, 21 (05) : 787 - 811
123456