A Boundedness Result for Minimizers of Some Polyconvex Integrals

被引：17
|
作者：
Carozza, Menita [1 ]
Gao, Hongya [2 ]
Giova, Raffaella [3 ]
Leonetti, Francesco [4 ]
机构：
[1] Univ Sannio, Benevento, Italy
[2] Hebei Univ, Baoding, Peoples R China
[3] Univ Napoli Parthenope, Naples, Italy
[4] Univ Aquila, Laquila, Italy
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2018年 / 178卷 / 03期
关键词：
Local; Bounded; Minimizer; Polyconvex; Integral; VECTOR-VALUED MINIMIZERS; NONLINEAR ELASTICITY; PARTIAL REGULARITY; GROWTH-CONDITIONS; VARIATIONAL INTEGRALS; MAXIMUM PRINCIPLE; MODEL PROBLEM; FUNCTIONALS; DIMENSIONS; EXISTENCE;
D O I：
10.1007/s10957-018-1335-0
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We consider polyconvex functionals of the Calculus of Variations defined on maps from the three-dimensional Euclidean space into itself. Counterexamples show that minimizers need not to be bounded. We find conditions on the structure of the functional, which force minimizers to be locally bounded.
引用
收藏
页码：699 / 725
页数：27
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