Global gradient estimates for non-quadratic vector-valued parabolic quasi-minimizers

被引：6

作者：

Habermann, J. ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, D-91058 Erlangen, Germany

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2015年 / 114卷

关键词：

Parabolic quasiminimizers; Higher integrability; Gradient estimates; Global regularity; Vector-valued problems; HIGHER INTEGRABILITY; NONSTANDARD GROWTH; OBSTACLE PROBLEMS; SYSTEMS; QUASIMINIMIZERS; MINIMA; SETS;

D O I：

10.1016/j.na.2014.10.014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish local and global higher integrability estimates for the gradient of vector-valued parabolic quasi-minimizers of integral functionals with polynomial p-growth, p > 2n/n+2, on a parabolic domain Omega(T) in Rn+1, n >= 2 and under a weak regularity assumption on the parabolic boundary of Omega(T). (C) 2014 Elsevier Ltd. All rights reserved.

引用

页码：42 / 73

页数：32

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JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (12) :3912-3942

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