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Regularity for minimizers of functionals with nonstandard growth by A-harmonic approximation
被引：0
作者：
Jens Habermann
Anna Zatorska–Goldstein
机构：
[1] Friedrich-Alexander University,Department of Mathematics
[2] University of Warsaw,Institute of Applied Mathematics and Mechanics
来源：
Nonlinear Differential Equations and Applications NoDEA
|
2008年
/
15卷
关键词：
49N60;
35J50;
Quasiconvex integral functionals;
nonstandard growth;
(;
) growth;
partial regularity;
-harmonic approximation;
Hölder continuity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove partial regularity for minimizers of quasiconvex functionals of the type \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$${\int_{\Omega}}f(x,Du) dx$$\end{document} with p(x) growth with respect to the second variable. The proof is direct and it uses a method of \documentclass[12pt]{minimal}
\usepackage{amsmath}
\usepackage{wasysym}
\usepackage{amsfonts}
\usepackage{amssymb}
\usepackage{amsbsy}
\usepackage{mathrsfs}
\usepackage{upgreek}
\setlength{\oddsidemargin}{-69pt}
\begin{document}$$\mathcal{A}$$\end{document}–harmonic approximation.
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页码：169 / 194
页数：25
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