-Regularity for Vector-Valued Minimizers of Quasilinear Functionals with VMO-Coefficients

被引：0

作者：

Danecek, Josef ^{[1
]}

Viszus, Eugen ^{[2
]}

机构：

[1] Univ South Bohemia, Inst Math & Biomath, Fac Sci, Ceske Budejovice 3705, Czech Republic

[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava 84248, Slovakia

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2015年 / 12卷 / 04期

关键词：

Quasilinear functionals; minimizers; regularity; Morrey spaces; MINIMA;

D O I：

10.1007/s00009-014-0476-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the paper, we give a sufficient condition for interior everywhere HAlder continuity of weak minimizers of quasilinear functionals, coefficients of which belong to VMO-classes. More precisely, uniformly with respect to . Besides a few examples illustrating obtained results, the regularity up to the boundary is shown in a case of a specific functional.

引用

页码：1287 / 1305

页数：19

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