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.
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页码：1 / 38
页数：38
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