SHAPE FORMULATION OF FREE-BOUNDARY PROBLEMS WITH NONLINEARIZED BERNOULLI CONDITION

被引：0
|
作者：
ZOLESIO, JP [1 ]
机构：
[1] INST NON LINEAIRE NICE,CNRS,URM 129,F-06034 NICE,FRANCE
来源：
LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES | 1992年 / 178卷
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中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider shape optimization problems of the type Min (E(OMEGA) \ OMEGA measurable set in D,meas(OMEGA)=alpha,....) associated to energy functionals of the form E(OMEGA)=Inf[J(OMEGA,u) \ u belongs to H(OMEGA)] where H(OMEGA) is a relaxed version of some classical closed subspace of H-1(OMEGA) When OMEGA is just a measurable subset in a smooth given domain 1). For several situations connected to the Bernoulli free boundary condition we give existence results and first necessary conditions. Assuming smoothness of the solution we give second order necessary conditions,
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页码：362 / 392
页数：31
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