On the Equivalence of Euler-Lagrange and Noether Equations

被引：1

作者：

Faliagas, A. C. ^{[1
]}

机构：

[1] Univ Athens, Dept Math, Athens 15784, Greece

来源：

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2016年 / 19卷 / 01期

关键词：

Calculus of variations; Noether; Euler-lagrange; Equivalence; Nonlinear poisson; Conservation laws; Energy-momentum tensor; Stress tensor;

D O I：

10.1007/s11040-016-9203-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that, under the condition of nontriviality, the Euler-Lagrange and Noether equations are equivalent for a general class of scalar variational problems. Examples are position independent Lagrangians, Lagrangians of p-Laplacian type, and Lagrangians leading to nonlinear Poisson equations. As applications we prove certain propositions concerning the nonlinear Poisson equation and its generalisations, and the equivalence of admissible and inner variations for the systems under consideration.

引用

页码：1 / 12

页数：12

共 11 条

[1] THE STRESS-ENERGY TENSOR AND POHOZAEV'S IDENTITY FOR SYSTEMS [J].