Homotopic Classification of Euler-Lagrange Systems

In this paper we examine the linear elliptic partial differential operators that appear as Euler-Lagrange systems of certain variational integrals. We give a sufficient condition for those systems to be deformable to the Laplace system.

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Main Author: Habre, Samer S. (author)
Format: article
Published: 2002
Online Access:http://hdl.handle.net/10725/2132
https://doi.org/10.35834/2002/1401049
https://projecteuclid.org/journals/missouri-journal-of-mathematical-sciences/volume-14/issue-1/Homotopic-Classification-of-Euler-Lagrange-Systems/10.35834/2002/1401049.full
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author Habre, Samer S.
author_facet Habre, Samer S.
author_role author
dc.creator.none.fl_str_mv Habre, Samer S.
dc.date.none.fl_str_mv 2002
2002
2015-09-14T06:18:57Z
2015-09-14T06:18:57Z
dc.identifier.none.fl_str_mv 0899-6180
http://hdl.handle.net/10725/2132
https://doi.org/10.35834/2002/1401049
https://projecteuclid.org/journals/missouri-journal-of-mathematical-sciences/volume-14/issue-1/Homotopic-Classification-of-Euler-Lagrange-Systems/10.35834/2002/1401049.full
dc.relation.none.fl_str_mv Missouri Journal of Mathematical Sciences
dc.rights.*.fl_str_mv info:eu-repo/semantics/openAccess
dc.title.none.fl_str_mv Homotopic Classification of Euler-Lagrange Systems
dc.type.none.fl_str_mv Article
info:eu-repo/semantics/publishedVersion
info:eu-repo/semantics/article
description In this paper we examine the linear elliptic partial differential operators that appear as Euler-Lagrange systems of certain variational integrals. We give a sufficient condition for those systems to be deformable to the Laplace system.
eu_rights_str_mv openAccess
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id LAURepo_e494b8f0d92f6e8b458e9e54968d83ff
identifier_str_mv 0899-6180
network_acronym_str LAURepo
network_name_str Lebanese American University repository
oai_identifier_str oai:laur.lau.edu.lb:10725/2132
publishDate 2002
repository.mail.fl_str_mv
repository.name.fl_str_mv
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spelling Homotopic Classification of Euler-Lagrange SystemsHabre, Samer S.In this paper we examine the linear elliptic partial differential operators that appear as Euler-Lagrange systems of certain variational integrals. We give a sufficient condition for those systems to be deformable to the Laplace system.PublishedN/A2015-09-14T06:18:57Z2015-09-14T06:18:57Z20022002Articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article0899-6180http://hdl.handle.net/10725/2132https://doi.org/10.35834/2002/1401049https://projecteuclid.org/journals/missouri-journal-of-mathematical-sciences/volume-14/issue-1/Homotopic-Classification-of-Euler-Lagrange-Systems/10.35834/2002/1401049.fullMissouri Journal of Mathematical Sciencesinfo:eu-repo/semantics/openAccessoai:laur.lau.edu.lb:10725/21322025-10-09T10:38:35Z
spellingShingle Homotopic Classification of Euler-Lagrange Systems
Habre, Samer S.
status_str publishedVersion
title Homotopic Classification of Euler-Lagrange Systems
title_full Homotopic Classification of Euler-Lagrange Systems
title_fullStr Homotopic Classification of Euler-Lagrange Systems
title_full_unstemmed Homotopic Classification of Euler-Lagrange Systems
title_short Homotopic Classification of Euler-Lagrange Systems
title_sort Homotopic Classification of Euler-Lagrange Systems
url http://hdl.handle.net/10725/2132
https://doi.org/10.35834/2002/1401049
https://projecteuclid.org/journals/missouri-journal-of-mathematical-sciences/volume-14/issue-1/Homotopic-Classification-of-Euler-Lagrange-Systems/10.35834/2002/1401049.full