Existence of Lipschitzian solutions to the classical problem of the calculus of variations in the autonomous case

被引：20

作者：

Cellina, A ^{[1
]}

Ferriero, A ^{[1
]}

机构：

[1] Univ Milan, Dipartimento Matemat & Applicaz, I-20126 Milan, Italy

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2003年 / 20卷 / 06期

关键词：

calculus of variations; existence and Lipschitzianity of solutions;

D O I：

10.1016/S0294-1449(03)00010-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Under general growth assumptions, that include some cases of linear growth, we prove existence of Lipschitzian solutions to the problem of minimizing integral(a)(b) L(x(s), x'(s)) ds with the boundary conditions x (a) = A, x (b) = B. (C) 2003 Editions scientifiques et medicales Elsevier SAS.

引用

页码：911 / 919

页数：9

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