A QUANTITATIVE SECOND ORDER MINIMALITY CRITERION FOR CAVITIES IN ELASTIC BODIES

被引：11

作者：

Capriani, Giuseppe Maria ^{[1
]}

Julin, Vesa ^{[1
]}

Pisante, Giovanni ^{[2
]}

机构：

[1] Univ Naples Federico II, Dipartimento Matemat & Applicaz R Cacciopoli, I-80126 Naples, Italy

[2] Univ Naples 2, Dipartimento Matemat, I-81100 Caserta, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2013年 / 45卷 / 03期

关键词：

calculus of variations; second order minimality conditions; free discontinuity problems; STRAINED CRYSTALLINE FILMS; SURFACE-DIFFUSION; ENERGY; INSTABILITY; EVOLUTION; MODEL;

D O I：

10.1137/120872152

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a functional which models an elastic body with a cavity. We show that if a critical point has positive second variation, then it is a strict local minimizer. We also provide a quantitative estimate.

引用

页码：1952 / 1991

页数：40

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