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
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
收藏
页码:469 / 482
页数:14
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