The nonlinear membrane energy:: variational derivation under the constraint "det delu > 0"

被引：8
作者：
Hafsa, Omar Anza [2 ]
Mandallena, Jean-Philippe [1 ,3 ]
机构：
[1] Univ Nimes Hosp, Equipe AVA Analyse Variat & Applicat, F-30021 Nimes 01, France
[2] Univ Montpellier 2, LMGC UMR CNRS 5508, F-34095 Montpellier, France
[3] Univ Montpellier 2, CNRS 13M UMR 5149, F-34095 Montpellier, France
来源：
BULLETIN DES SCIENCES MATHEMATIQUES | 2008年 / 132卷 / 04期
关键词：
dimensional reduction; nonlinear membrane energy; determinant condition;
D O I：
10.1016/j.bulsci.2007.05.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In [Anza Hafsa, O., Mandallena, J.-P., The nonlinear membrane energy: variational derivation under the constraint "det del u not equal 0", J. Math. Pures Appl. 86 (2006) 100-115] we gave a variational definition of the nonlinear membrane energy under the constraint "det del u not equal 0". In this paper we obtain the nonlinear membrane energy under the more realistic constraint "det del u not equal 0". (C) 2007 Elsevier Masson SAS. All rights reserved.
引用
收藏
页码：272 / 291
页数：20
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