Regularity results for non-autonomous variational integrals with discontinuous coefficients

被引：24

作者：

di Napoli, Antonia Passarelli ^{[1
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Caccioppoli, Via Cintia, I-80126 Naples, Italy

来源：

RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI | 2015年 / 26卷 / 04期

关键词：

Elliptic systems; discontinuous coefficients; higher differentiability; HIGHER DIFFERENTIABILITY; MINIMIZERS; CONTINUITY;

D O I：

10.4171/RLM/717

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the regularity properties of local minimizers of non autonomous convex integral functionals of the type F(u; Omega) := integral(Omega) f(x,Du)dx, with p-growth into the gradient variable and discontinuous dependence on the x variable. We prove a higher differentiability result for local minimizers of the functional. F(u; Omega) assuming that the function that measures the oscillation of the integrand with respect to the x variable belongs to a suitable Sobolev space.

引用

页码：475 / 496

页数：22

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