On a class of second order variational problems with constraints

被引：16

作者：

Marcus, M ^{[1
]}

Zaslavski, AJ ^{[1
]}

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

来源：

ISRAEL JOURNAL OF MATHEMATICS | 1999年 / 111卷 / 1期

关键词：

D O I：

10.1007/BF02810675

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the structure of optimal solutions for a class of constrained, second order variational problems on bounded intervals. We show that, for intervals of length greater than some positive constant, the optimal solutions are bounded in C-1 by a bound independent of the length of the interval. Furthermore, for sufficiently large intervals, the 'mass' and 'energy' of optimal solutions are almost uniformly distributed.

引用

下载

页码：1 / 28

页数：28

共 50 条

[41] Variational problems of some second order Lagrangians given by Pfaff forms
Popescu, P.
Popescu, M.
BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS, 2012, 17 (02): : 82 - 91
[42] Second order initial boundary-value problems of variational type
Serre, D
JOURNAL OF FUNCTIONAL ANALYSIS, 2006, 236 (02) : 409 - 446
[43] Variational Problems in L∞ Involving Semilinear Second Order Differential Operators
Katzourakis, Nikos
Moser, Roger
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2023, 29
[44] PERIODIC SOLUTIONS OF SECOND ORDER DYNAMICAL SYSTEMS AND ISOPERIMETRIC VARIATIONAL PROBLEMS
BERGER, MS
AMERICAN JOURNAL OF MATHEMATICS, 1971, 93 (01) : 1 - &
[45] REGULARITY OF MINIMIZERS FOR SECOND ORDER VARIATIONAL PROBLEMS IN ONE INDEPENDENT VARIABLE
Gavriel, Christos
Vinter, Richard
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2011, 29 (02) : 547 - 557
[46] Noether's Second Theorem for Variable Order Fractional Variational Problems
Malinowska, Agnieszka B.
Odzijewicz, Tatiana
ADVANCES IN MODELLING AND CONTROL OF NON-INTEGER ORDER SYSTEMS, 2015, 320 : 37 - 46
[47] Existence problems in second order evolution inclusions: Discretization and variational approach
Castaing, C.
Ibrahim, A. G.
Yarou, M.
TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (06): : 1433 - 1475
[48] Variational problems with topological constraints
Laurence, P
Stredulinsky, EW
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2000, 10 (03) : 197 - 212
[49] Variational problems with topological constraints
Peter Laurence
Edward W. Stredulinsky
Calculus of Variations and Partial Differential Equations, 2000, 10 : 197 - 212
[50] Reducible second-class constraints of order L: An irreducible approach
Bizdadea, C.
Cioroianu, E. M.
Negru, I.
Saliu, S. O.
Sararu, S. C.
Balus, O.
NUCLEAR PHYSICS B, 2009, 812 (1-2) : 12 - 45

← 1 2 3 4 5 →