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

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