A $\Gamma $-convergence result for optimal design problems

Hamdi Zorgati

doi:10.5802/crmath.375

Équations aux dérivées partielles, Physique mathématique

A

Γ

-convergence result for optimal design problems

Hamdi Zorgati ^1,²

¹ Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Mathematics and Statistics, PO-Box 90950, Riyadh 11623 Saudi Arabia
² University of Tunis El Manar, Faculty of Sciences of Tunis, Department of Mathematics, Tunis 2092, Tunisia

Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1145-1151.

corrigé par Expression of concern from the editors in chief: “A

Γ

-convergence result for optimal design problems”
[Avertissement des rédacteurs en chef : « A

Γ

-convergence result for optimal design problems »]

Résumé

In this paper, we derive the $Γ$ -limit of some optimal material distribution problems as the exponent goes to infinity.

Reçu le : 2022-04-05
Révisé le : 2022-05-10
Accepté le : 2022-05-10
Publié le : 2022-10-04

DOI : 10.5802/crmath.375

Classification : 74B20, 35E99, 35M10, 49J45

Affiliations des auteurs :

Hamdi Zorgati ^{1, 2}

¹ Imam Mohammad Ibn Saud Islamic University (IMSIU), College of Science, Department of Mathematics and Statistics, PO-Box 90950, Riyadh 11623 Saudi Arabia
² University of Tunis El Manar, Faculty of Sciences of Tunis, Department of Mathematics, Tunis 2092, Tunisia

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Hamdi Zorgati},
     title = {A $\Gamma $-convergence result for optimal design problems},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {1145--1151},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {360},
     year = {2022},
     doi = {10.5802/crmath.375},
     language = {en},
}

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Hamdi Zorgati. A $\Gamma $-convergence result for optimal design problems. Comptes Rendus. Mathématique, Volume 360 (2022), pp. 1145-1151. doi : 10.5802/crmath.375. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.375/

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