Regularity of Minimizers of some Variational Integrals with Discontinuity

被引：2

作者：

Ragusa, Maria Alessandra ^{[1
]}

Tachikawa, Atsushi ^{[2
]}

机构：

[1] Univ Catania, Dipartimento Matemat, I-95125 Catania, Italy

[2] Tokyo Univ Sci, Fac Sci & Technol, Dept Math, Noda, Chiba 2788510, Japan

来源：

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN | 2008年 / 27卷 / 04期

关键词：

Variational problem; minimizer; partial regularity;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove regularity properties in the vector valued case for minimizers of variational integrals of the form A(u) = integral(Omega)A(x, u, Du)dx where the integrand A(x, u, Du) is not necessarily continuous respect to the variable x, grows polinomially like vertical bar xi vertical bar(p), p >= 2.

引用

页码：469 / 482

页数：14

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