LOCAL MORREY ESTIMATE IN MUSIELAK-ORLICZ-SOBOLEV SPACE

被引：0
|
作者：
Liu, Duchao [1 ]
Zhao, Peihao [1 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2023年 / 61卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Musielak-Sobolev space; Morrey estimate; Holder continuity; NON-NEWTONIAN FLUIDS; PARABOLIC PROBLEMS; REGULARITY; EXISTENCE; FUNCTIONALS; MINIMIZERS; THEOREMS;
D O I：
10.12775/TMNA.2023.001
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Under appropriate assumptions on the N(Omega)-fucntion, locally uniform Morrey estimate is presented in the Musielak-Orlicz-Sobolev space. The assumptions include a new increasing condition on the x -derivative of the Young complementary function of the N(Omega)-fucntion. The conclusion applies to several important nonlinear examples frequently ap-peared in mathematical literature.
引用
收藏
页码：637 / 650
页数：14
相关论文
共 50 条
  • [31] Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
    Ohno, Takao
    Shimomura, Tetsu
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2016, 66 (02) : 371 - 394
  • [32] On Some Nonlinear Elliptic Problems with Large Monotonocity in Musielak-Orlicz-Sobolev Spaces
    Azraibi, Ouidad
    El Haji, Badr
    Mekkour, Mounir
    JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, 2022, 18 (03) : 332 - 349
  • [33] Existence of capacity solution for a nonlocal thermistor problem in Musielak-Orlicz-Sobolev spaces
    Dahi, Ibrahim
    Ammi, Moulay Rchid Sidi
    ANNALS OF FUNCTIONAL ANALYSIS, 2023, 14 (01)
  • [34] Musielak-Orlicz-Sobolev spaces with zero boundary values on metric measure spaces
    Takao Ohno
    Tetsu Shimomura
    Czechoslovak Mathematical Journal, 2016, 66 : 371 - 394
  • [35] Existence of solutions to quasilinear elliptic equations in the Musielak-Orlicz-Sobolev spaces for unbounded domains
    Kozhevnikova, L. M.
    Kashnikova, A. P.
    VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2020, 24 (04): : 621 - 643
  • [36] Modular density of smooth functions in inhomogeneous and fully anisotropic Musielak-Orlicz-Sobolev spaces
    Borowski, Michal
    Chlebicka, Iwona
    JOURNAL OF FUNCTIONAL ANALYSIS, 2022, 283 (12)
  • [37] Musielak-Orlicz-Sobolev空间关于最大值范数的端点
    季丹丹
    陈述涛
    数学的实践与认识, 2010, 40 (12) : 176 - 183
  • [38] New characterizations of Musielak-Orlicz-Sobolev spaces via sharp ball averaging functions
    Sibei Yang
    Dachun Yang
    Wen Yuan
    Frontiers of Mathematics in China, 2019, 14 : 177 - 201
  • [39] New characterizations of Musielak-Orlicz-Sobolev spaces via sharp ball averaging functions
    Yang, Sibei
    Yang, Dachun
    Yuan, Wen
    FRONTIERS OF MATHEMATICS IN CHINA, 2019, 14 (01) : 177 - 201
  • [40] Weighted Sobolev inequality in Musielak-Orlicz space
    Mizuta, Yoshihiro
    Shimomura, Tetsu
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 388 (01) : 86 - 97
12345