Local boundedness for minimizers of variational integrals under anisotropic nonstandard growth conditions

被引：0

作者：

Feng, Zesheng ^{[1
]}

Zhang, Aiping ^{[1
]}

Gao, Hongya ^{[1
]}

机构：

[1] Hebei Univ, Coll Chem & Environm Sci, 180 Wusi Dong Rd, Lian Chi Dist 071002, Baoding, Peoples R China

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2024年

关键词：

local boundedness; minimizer; variational integral; anisotropic growth; convex; polyconvex; REGULARITY;

D O I：

10.21136/CMJ.2024.0121-24

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with local boundedness for minimizers of vectorial integrals under anisotropic growth conditions by using De Giorgi's iterative method. We consider integral functionals with the first part of the integrand satisfying anisotropic growth conditions including a convex nondecreasing function g, and with the second part, a convex lower order term or a polyconvex lower order term. Local boundedness of minimizers is derived.

引用

页码：1165 / 1184

页数：20

共 50 条

[41] PARTIAL REGULARITY FOR LOCAL MINIMIZERS OF VARIATIONAL INTEGRALS WITH LOWER-ORDER TERMS
Campos Cordero, Judith
QUARTERLY JOURNAL OF MATHEMATICS, 2022, 73 (03): : 805 - 847
[42] HIGHER INTEGRABILITY OF THE GRADIENT OF MINIMIZERS OF FUNCTIONALS WITH NONSTANDARD GROWTH-CONDITIONS
FUSCO, N
SBORDONE, C
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1990, 43 (05) : 673 - 683
[43] C1,α regularity for minimizers of a functional with nonstandard growth conditions
Liang, Xiting
Zhongshan Daxue Xuebao/Acta Scientiarum Natralium Universitatis Sunyatseni, 1995, 34 (03):
[44] REGULARITY FOR MINIMIZERS OF CERTAIN DEGENERATE FUNCTIONALS WITH NONSTANDARD GROWTH-CONDITIONS
HI, JC
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1991, 16 (2-3) : 363 - 372
[45] Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
Frank Duzaar
Joseph F. Grotowski
Manfred Kronz
Annali di Matematica Pura ed Applicata, 2005, 184 : 421 - 448
[46] Regularity of almost minimizers of quasi-convex variational integrals with subquadratic growth
Duzaar, Frank
Grotowski, Joseph F.
Kronz, Manfred
ANNALI DI MATEMATICA PURA ED APPLICATA, 2005, 184 (04) : 421 - 448
[47] Lipschitz regularity for constrained local minimizers of convex variational integrals with a wide range of anisotropy
M. Bildhauer
M. Fuchs
Manuscripta Mathematica, 2013, 141 : 63 - 83
[48] Lipschitz regularity for constrained local minimizers of convex variational integrals with a wide range of anisotropy
Bildhauer, M.
Fuchs, M.
MANUSCRIPTA MATHEMATICA, 2013, 141 (1-2) : 63 - 83
[49] Full C1,α-regularity for free and constrained local minimizers of elliptic variational integrals¶with nearly linear growth
Martin Fuchs
Giuseppe Mingione
manuscripta mathematica, 2000, 102 : 227 - 250
[50] Local Lipschitz regularity of vector valued local minimizers of variational integrals with densities depending on the modulus of the gradient
Fuchs, Martin
MATHEMATISCHE NACHRICHTEN, 2011, 284 (2-3) : 266 - 272

← 1 2 3 4 5 →