AN EXISTENCE RESULT IN A PROBLEM OF THE VECTORIAL CASE OF THE CALCULUS OF VARIATIONS

被引：20

作者：

CELLINA, A ^{[1
]}

ZAGATTI, S ^{[1
]}

机构：

[1] UNIV BOLOGNA,DIPARTMENTO MATEMAT,I-40127 BOLOGNA,ITALY

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 1995年 / 33卷 / 03期

关键词：

MINIMUM PROBLEM; JACOBIAN DETERMINANT; QUASI-AFFINE FUNCTION;

D O I：

10.1137/S0363012993247640

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 prove that the problem Minimize integral(Omega) g(Phi(del T(x)))dx, T is an element of T-B + W-0(1,infinity)(Omega, R(n)) admits at least one solution for any lower-semicontinuous extended valued function g, for any quasi-affine real-valued function Phi, and for any piecewise-affine boundary datum T-B such that Phi(del T-B) is constant.

引用

页码：960 / 970

页数：11

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