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Mathematical Notes
Article . 1997 . Peer-reviewed
License: Springer TDM
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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao
zbMATH Open
Article . 1997
Data sources: zbMATH Open
https://dx.doi.org/10.1007/bf0...
Article
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Necessary conditions for an extremum in the calculus of variations with nonsmooth phase variables

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1997 English Publisher:Springer Science and Business Media LLCJournal:Mathematical Notes, volume 61, pages 770-776 (issn: 0001-4346, eissn: 1573-8876, Copyright policy )
Authors: Jankovič, V.;

doi: 10.1007/bf02361219

Necessary conditions for an extremum in the calculus of variations with nonsmooth phase variables

Abstract

Weak and strong local minimum for a general isoperimetric problem are studied. Necessary conditions not involving partial derivatives with respect to phase variables are obtained. The results are justified by problems that are not smooth with respect to phase variables.

Related Organizations
Keywords

nonsmooth phase variables, Variational problems in a geometric measure-theoretic setting, isoperimetric problem, necessary conditions, Optimality conditions for problems involving ordinary differential equations

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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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