Partial regularity for minimizers of degenerate polyconvex energies

被引：2

作者：

Esposito, L ^{[1
]}

Mingione, G

机构：

[1] Univ Salerno, Dipartimento Ingn Informat & Matemat Appl, I-84100 Salerno, Italy

[2] Univ Parma, Dipartimento Matemat, I-43100 Parma, Italy

来源：

JOURNAL OF CONVEX ANALYSIS | 2001年 / 8卷 / 01期

关键词：

polyconvexity; regularity; elliptic systems;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove partial regularity of minimizers for a class of polyconvex integral functionals integral (Omega)f(Du, Ad Uu, der Du) dx, where f is degenerate convex. Our class includes the model case integral (Omega)(\ Du \ (p) + \ Ad Du \ (p) + \ det Du \ (p)) dx. The method of proof involves a blow-up technique combined with a suitable asymptotic analysis of the degeneration nature of the first term integral (Omega) \ Du \ (p) dx.

引用

页码：1 / 38

页数：38

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