Hölder regularity of quasiminimizers under generalized growth conditions

被引：0
|
作者：
Petteri Harjulehto
Peter Hästö
Olli Toivanen
机构：
[1] University of Turku,Department of Mathematics and Statistics
[2] University of Oulu,Department of Mathematics
[3] Polish Academy of Sciences,Institute of Mathematics
来源：
Calculus of Variations and Partial Differential Equations | 2017年 / 56卷
关键词：
35J60; 35B65; 49J40; 46E35;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove Harnack’s inequality for local (quasi)minimizers in generalized Orlicz spaces without polynomial growth or coercivity conditions. As a consequence, we obtain the local Hölder continuity of local (quasi)minimizers. The results include as special cases standard, variable exponent and double phase growth.
引用
收藏
相关论文
共 50 条
  • [1] Holder regularity of quasiminimizers under generalized growth conditions
    Harjulehto, Petteri
    Hasto, Peter
    Toivanen, Olli
    [J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2017, 56 (02)
  • [2] Boundary Regularity under Generalized Growth Conditions
    Harjulehto, Petteri
    Hasto, Peter
    [J]. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2019, 38 (01): : 73 - 96
  • [3] Holder Regularity of Quasiminimizers to Generalized Orlicz Functional on the Heisenberg Group
    Zhang, Junli
    Niu, Pengcheng
    [J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
  • [4] Directional Hölder Metric Regularity
    Huynh Van Ngai
    Nguyen Huu Tron
    Michel Théra
    [J]. Journal of Optimization Theory and Applications, 2016, 171 : 785 - 819
  • [5] Hölder Regularity of μ-Similar Functions
    Moez Ben Abid
    Stéphane Seuret
    [J]. Constructive Approximation, 2010, 31 : 69 - 93
  • [6] Hölder regularity for Maxwell’s equations under minimal assumptions on the coefficients
    Giovanni S. Alberti
    [J]. Calculus of Variations and Partial Differential Equations, 2018, 57
  • [7] Regularity results for Hölder minimizers to functionals with non-standard growth
    Grimaldi, Antonio Giuseppe
    Ipocoana, Erica
    [J]. MATHEMATISCHE NACHRICHTEN, 2024, 297 (08) : 3143 - 3164
  • [8] On a generalized Hölder inequality
    Ern G Kwon
    Jung E Bae
    [J]. Journal of Inequalities and Applications, 2015
  • [9] Hölder Regularity of Helicity for the Incompressible Flows
    Jitao Liu
    Yunxiao Zhao
    [J]. Journal of Mathematical Fluid Mechanics, 2023, 25
  • [10] Hölder Regularity of Geometric Subdivision Schemes
    T. Ewald
    U. Reif
    M. Sabin
    [J]. Constructive Approximation, 2015, 42 : 425 - 458
12345