An optimization problem for some nonlinear elliptic equation

In this paper we prove existence and uniqueness of the optimal solution for anoptimization problem related to a nonlinear elliptic equation. We use the concepttangent cones to derive the optimality condition satisfied by optimal solution.

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Main Author: Mohsen Zivari-Rezapour
Format: Article
Language:English
Published: Elsevier 2016-05-01
Series:Kuwait Journal of Science
Subjects:
Online Access:https://journalskuwait.org/kjs/index.php/KJS/article/view/751
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author Mohsen Zivari-Rezapour
author_facet Mohsen Zivari-Rezapour
author_sort Mohsen Zivari-Rezapour
collection DOAJ
description In this paper we prove existence and uniqueness of the optimal solution for anoptimization problem related to a nonlinear elliptic equation. We use the concepttangent cones to derive the optimality condition satisfied by optimal solution.
format Article
id doaj-art-24fa1e38f1fa477db82e573afbf3eae4
institution Kabale University
issn 2307-4108
2307-4116
language English
publishDate 2016-05-01
publisher Elsevier
record_format Article
series Kuwait Journal of Science
spelling doaj-art-24fa1e38f1fa477db82e573afbf3eae42025-08-20T03:26:43ZengElsevierKuwait Journal of Science2307-41082307-41162016-05-01432283An optimization problem for some nonlinear elliptic equationMohsen Zivari-Rezapour0Shahid Chamran University of AhvazIn this paper we prove existence and uniqueness of the optimal solution for anoptimization problem related to a nonlinear elliptic equation. We use the concepttangent cones to derive the optimality condition satisfied by optimal solution.https://journalskuwait.org/kjs/index.php/KJS/article/view/751Existenceoptimality conditionoptimizationtangent conesuniqueness
spellingShingle Mohsen Zivari-Rezapour
An optimization problem for some nonlinear elliptic equation
Kuwait Journal of Science
Existence
optimality condition
optimization
tangent cones
uniqueness
title An optimization problem for some nonlinear elliptic equation
title_full An optimization problem for some nonlinear elliptic equation
title_fullStr An optimization problem for some nonlinear elliptic equation
title_full_unstemmed An optimization problem for some nonlinear elliptic equation
title_short An optimization problem for some nonlinear elliptic equation
title_sort optimization problem for some nonlinear elliptic equation
topic Existence
optimality condition
optimization
tangent cones
uniqueness
url https://journalskuwait.org/kjs/index.php/KJS/article/view/751
work_keys_str_mv AT mohsenzivarirezapour anoptimizationproblemforsomenonlinearellipticequation
AT mohsenzivarirezapour optimizationproblemforsomenonlinearellipticequation