Partial and full boundary regularity for non-autonomous functionals with Φ-growth conditions

被引：7

作者：

Giannetti, Flavia ^{[1
]}

di Napoli, Antonia Passarelli ^{[1
]}

Tachikawa, Atsushi ^{[2
]}

机构：

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

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

来源：

FORUM MATHEMATICUM | 2019年 / 31卷 / 04期

基金：

日本学术振兴会;

关键词：

Boundary regularity; non-standard growth; non-autonomous functionals; ELLIPTIC-SYSTEMS; MINIMIZERS; P(X)-ENERGY;

D O I：

10.1515/forum-2019-0039

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove partial and full boundary Holder continuity, under a suitable regularity on the boundary datum, of the minimizers of non-autonomous integral functionals of the type integral(Omega) Phi((A(ij)(alpha beta) (x, u) D(i)u(alpha) D(j)u(beta))(1/2)) dx, where Omega subset of R-n is a bounded domain, Phi(t) = t(p )log(alpha)(e + t) with 1 < p <= n and alpha > 0, and A(x, s) = (A(ij)(alpha beta)(x, s)) is a uniformly elliptic, bounded and continuous function.

引用

页码：1027 / 1050

页数：24

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