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：
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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.
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页码：1005 / 1032
页数：27
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