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

Zorgati, Hamdi

doi:10.5802/crmath.375

Équations aux dérivées partielles, Physique mathématique

Γ

-convergence result for optimal design problems

Zorgati, Hamdi ^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, Tome 360 (2022) no. G10, pp. 1145-1151.

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 :

Zorgati, Hamdi ^{1, 2}

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     pages = {1145--1151},
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     url = {http://www.numdam.org/articles/10.5802/crmath.375/}
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Zorgati, Hamdi. A $\Gamma $-convergence result for optimal design problems. Comptes Rendus. Mathématique, Tome 360 (2022) no. G10, pp. 1145-1151. doi : 10.5802/crmath.375. http://www.numdam.org/articles/10.5802/crmath.375/

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