Local Lipschitz continuity for energy integrals with slow growth

被引：0
|
作者：
Michela Eleuteri
Paolo Marcellini
Elvira Mascolo
Stefania Perrotta
机构：
[1] Università degli Studi di Modena e Reggio Emilia,Dipartimento di Scienze Fisiche, Informatiche e Matematiche
[2] Università di Firenze,Dipartimento di Matematica e Informatica “U. Dini”
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2022年 / 201卷
关键词：
Elliptic equations; Local minimizers; Local Lipschitz continuity; growth; General growth; Primary: 35J60; 35B65; 49N60; Secondary: 35J70; 35B45;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider some energy integrals under slow growth, and we prove that the local minimizers are locally Lipschitz continuous. Many examples are given, either with subquadratic p,q-\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$p,q-$$\end{document}growth and/or anisotropic growth.
引用
收藏
页码：1005 / 1032
页数：27
相关论文
共 50 条
  • [21] On Lipschitz continuity of the iterated function system in a stochastic optimal growth model
    Mitra, Tapan
    Privileggi, Fabio
    [J]. JOURNAL OF MATHEMATICAL ECONOMICS, 2009, 45 (1-2) : 185 - 198
  • [22] Lipschitz Bounds and Nonautonomous Integrals
    De Filippis, Cristiana
    Mingione, Giuseppe
    [J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2021, 242 (02) : 973 - 1057
  • [23] Local Lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient
    Fuchs, Martin
    [J]. MATHEMATISCHE NACHRICHTEN, 2011, 284 (2-3) : 266 - 272
  • [24] Lipschitz Continuity of Liu Process
    Dai, Wei
    [J]. PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON INFORMATION AND MANAGEMENT SCIENCES, 2009, 8 : 756 - 759
  • [25] Lipschitz Continuity of Convex Functions
    Nguyen, Bao Tran
    Khanh, Pham Duy
    [J]. Applied Mathematics and Optimization, 2021, 84 (02): : 1623 - 1640
  • [26] Lipschitz Continuity and Approximate Equilibria
    Argyrios Deligkas
    John Fearnley
    Paul Spirakis
    [J]. Algorithmica, 2020, 82 : 2927 - 2954
  • [27] A Microlocal Characterization of Lipschitz Continuity
    Jubin, Benoit
    [J]. PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 2018, 54 (04) : 729 - 780
  • [28] Continuity and Lipschitz constants for projections
    Bridges, Douglas S.
    [J]. JOURNAL OF LOGIC AND ALGEBRAIC PROGRAMMING, 2010, 79 (01): : 2 - 9
  • [29] Lipschitz continuity of triangular subnorms
    Ricci, Roberto Ghiselli
    Mesiar, Radko
    Mesiarova-Zemankova, Andrea
    [J]. FUZZY SETS AND SYSTEMS, 2014, 240 : 51 - 65
  • [30] Lipschitz Continuity of Convex Functions
    Bao Tran Nguyen
    Pham Duy Khanh
    [J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2021, 84 (02): : 1623 - 1640
12345