A variational principle for boundary-value problems with non-linear boundary conditions

In this article, we establish a variational principle for a class of boundary-value problems with a suitable non-linear boundary conditions. As an application of the variational principle, we study the existence of classical solutions for boundary-value problems.

Bibliographic Details
Main Author: Dianwu Yang
Format: Article
Language:English
Published: Texas State University 2015-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/301/abstr.html
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author Dianwu Yang
author_facet Dianwu Yang
author_sort Dianwu Yang
collection DOAJ
description In this article, we establish a variational principle for a class of boundary-value problems with a suitable non-linear boundary conditions. As an application of the variational principle, we study the existence of classical solutions for boundary-value problems.
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language English
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publishDate 2015-12-01
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spelling doaj.art-80d2eba3807443a3a7c5bc87d5cedac82022-12-21T17:33:08ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912015-12-012015301,16A variational principle for boundary-value problems with non-linear boundary conditionsDianwu Yang0 Univ. of Jinan, China In this article, we establish a variational principle for a class of boundary-value problems with a suitable non-linear boundary conditions. As an application of the variational principle, we study the existence of classical solutions for boundary-value problems.http://ejde.math.txstate.edu/Volumes/2015/301/abstr.htmlBoundary value problemnon-linear boundary value conditionvariational principle
spellingShingle Dianwu Yang
A variational principle for boundary-value problems with non-linear boundary conditions
Electronic Journal of Differential Equations
Boundary value problem
non-linear boundary value condition
variational principle
title A variational principle for boundary-value problems with non-linear boundary conditions
title_full A variational principle for boundary-value problems with non-linear boundary conditions
title_fullStr A variational principle for boundary-value problems with non-linear boundary conditions
title_full_unstemmed A variational principle for boundary-value problems with non-linear boundary conditions
title_short A variational principle for boundary-value problems with non-linear boundary conditions
title_sort variational principle for boundary value problems with non linear boundary conditions
topic Boundary value problem
non-linear boundary value condition
variational principle
url http://ejde.math.txstate.edu/Volumes/2015/301/abstr.html
work_keys_str_mv AT dianwuyang avariationalprincipleforboundaryvalueproblemswithnonlinearboundaryconditions
AT dianwuyang variationalprincipleforboundaryvalueproblemswithnonlinearboundaryconditions