Partial regularity for anisotropic functionals of higher order

被引：7

作者：

Carozza, Menita

di Napoli, Antonia Passarelli

机构：

[1] Univ Sannio, Dipartimento Pe Me Is, I-82100 Benevento, Italy

[2] Univ Naples Federico 2, Dipartimento Matemat & Applicaz R Caccioppoli, I-80126 Naples, Italy

来源：

ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS | 2007年 / 13卷 / 04期

关键词：

partial regularity; non standard growth; higher order derivatives;

D O I：

10.1051/cocv:2007033

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove a C-k,C-alpha partial regularity result for local minimizers of variational integrals of the type I(u) = integral(Omega) f(D-k u(x))dx, assuming that the integrand f satisfies ( p, q) growth conditions.

引用

页码：692 / 706

页数：15

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