-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

共 24 条

[11] VECTOR-VALUED PARABOLIC ω-MINIMIZERS
Habermann, Jens
ADVANCES IN DIFFERENTIAL EQUATIONS, 2014, 19 (11-12) : 1067 - 1136
[12] Partial regularity in the interior for discontinuous inhomogeneous elliptic system with VMO-coefficients
Tan, Zhong
Wang, Yanzhen
Chen, Shuhong
ANNALI DI MATEMATICA PURA ED APPLICATA, 2017, 196 (01) : 85 - 105
[13] REGULARITY RESULTS FOR LOCAL MINIMIZERS OF FUNCTIONALS WITH DISCONTINUOUS COEFFICIENTS
Giova, Raffaella
di Napoli, Antonia Passarelli
BRUNO PINI MATHEMATICAL ANALYSIS SEMINAR, 2016, 1 : 129 - 146
[14] Bounds for vector valued minimizers of some relaxed functionals
Leonetti, Francesco
Petricca, Pier Vincenzo
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2013, 58 (02) : 221 - 230
[15] Local Boundedness for Vector Valued Minimizers of Anisotropic Functionals
Leonetti, Francesco
Mascolo, Elvira
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2012, 31 (03): : 357 - 378
[16] Partial regularity of minimizers of functionals with discontinuous coefficients of low integrability with applications to nonlinear elliptic systems
Goodrich, Christopher S.
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2018, 43 (11) : 1599 - 1626
[17] Regularity for sub-elliptic systems with VMO-coefficients in the Heisenberg group: the sub-quadratic structure case
Wang, Jialin
Zhu, Maochun
Gao, Shujin
Liao, Dongni
ADVANCES IN NONLINEAR ANALYSIS, 2021, 10 (01) : 420 - 449
[18] Regularity of the free boundary for a semilinear vector-valued minimization problem ☆
Du, Lili
Zhou, Yi
JOURNAL OF DIFFERENTIAL EQUATIONS, 2025, 430
[19] OPTIMAL PARTIAL REGULARITY FOR QUASILINEAR ELLIPTIC SYSTEMS WITH VMO COEFFICIENTS BASED ON A-HARMONIC APPROXIMATIONS
Yu, Haiyan
Zheng, Shenzhou
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[20] THE REGULARITY OF SOME VECTOR-VALUED VARIATIONAL INEQUALITIES WITH GRADIENT CONSTRAINTS
Safdari, Mohammad
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2018, 17 (02) : 413 - 428

← 1 2 3 →