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EULER-LAGRANGE EQUATIONS AS DIVERGENCE CONDITIONS

 

作者: Hanno Rund,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1981)
卷期: Volume 4, issue 3  

页码: 229-253

 

ISSN:1607-3606

 

年代: 1981

 

DOI:10.1080/16073606.1981.9631875

 

出版商: Taylor & Francis Group

 

关键词: 49C10

 

数据来源: Taylor

 

摘要:

Any multiple integral problem in the calculus of variations gives rise to a pair of distributions on the configuration space. Whenever these distributions are integrable, the Euler-Lagrange equations are equivalent to the condition that the divergences of a set of uniquely defined vector fields vanish. This leads to a simple geometrical interpretation of the Euler-Lagrange equations.

 

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