REGULARITY PROPERTIES OF SOLUTIONS TO THE BASIC PROBLEM IN THE CALCULUS OF VARIATIONS

被引：115

作者：

CLARKE, FH ^{[1
]}

VINTER, RB ^{[1
]}

机构：

[1] UNIV LONDON IMPERIAL COLL SCI & TECHNOL,DEPT ELECT ENGN,LONDON SW7 2BT,ENGLAND

来源：

关键词：

D O I：

10.2307/1999689

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

引用

页码：73 / 98

页数：26

共 17 条

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[2] [Anonymous], 2009, Multiple integrals in the calculus of variations
[3] [Anonymous], 1921, FONDAMENTI CALCOLO V
[4] BLISS GA, 1946, LECTURES CALCULUS VA
[5] Cesari L., 1983, Applications of Mathematics, V17
[6] CLARKE F, UNPUB J DIFFERENTIAL
[7] GENERALIZED GRADIENTS AND APPLICATIONS
CLARKE, FH
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 205 (APR) : 247 - 262
[8] GENERALIZED-GRADIENTS OF LIPSCHITZ FUNCTIONALS
CLARKE, FH
[J]. ADVANCES IN MATHEMATICS, 1981, 40 (01) : 52 - 67
[9] ON THE CONDITIONS UNDER WHICH THE EULER EQUATION OR THE MAXIMUM PRINCIPLE HOLD
CLARKE, FH
VINTER, RB
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 1984, 12 (01) : 73 - 79
[10] EULER-LAGRANGE DIFFERENTIAL INCLUSION
CLARKE, FH
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1975, 19 (01) : 80 - 90