Partial regularity for higher order variational problems under anisotropic growth conditions

被引：0

作者：

Apushkinskaya, Darya ^{[1
]}

Fuchs, Martin ^{[1
]}

机构：

[1] Univ Saarland, Fachbereich Math 61, D-66041 Saarbrucken, Germany

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2007年 / 32卷 / 01期

关键词：

variational problems of higher order; nonstandard growth; regularity of minimizers;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a partial regularity result for local minimizers u: R-n superset of Omega -> R-M of the variational integral J(u, Omega) = integral(Omega) f (del(k)(u)) dx, where k is any integer and f is a strictly convex integrand of anisotropic (p, q)-growth with exponents satisfying the condition q < p(1 + (2)/(n)). This is some extension for the case n >= 3 of the regularity theorem obtained in [BF2].

引用

页码：199 / 214

页数：16

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