VECTOR VARIATIONAL PROBLEM WITH KNITTING BOUNDARY CONDITIONS

被引：0

作者：

Carita, Graca ^{[1
]}

Goncharov, Vladimir V. ^{[1
,2
]}

Smirnov, Georgi V. ^{[3
]}

机构：

[1] Univ Evora, CIMA, Rua Romao Ramalho 59, P-7000671 Evora, Portugal

[2] RAS, Inst Syst Dynam & Control Theory, Ul Lermontov 134, Irkutsk 664033, Russia

[3] Univ Minho, Braga, Portugal

来源：

QUARTERLY OF APPLIED MATHEMATICS | 2017年 / 75卷 / 02期

关键词：

Calculus of variations; polyconvex integrand; coercivity assumptions; trace operator; knitting boundary conditions; WEAK LOWER SEMICONTINUITY; POLYCONVEX INTEGRALS;

D O I：

10.1090/qam/1457

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a variational problem with a polyconvex integrand and non-standard boundary conditions that can be treated as minimization of the strain energy during the suturing process in plastic surgery. Existence of minimizers is proved and necessary optimality conditions are discussed.

引用

页码：249 / 265

页数：17

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