Γ-CONVERGENCE FOR AN OPTIMAL DESIGN PROBLEM WITH VARIABLE EXPONENT

被引：0
|
作者：
Zorgati, Hamdi [1 ,2 ]
机构：
[1] Imam Mohammad Ibn Saud Islamic Univ IMSIU, Coll Sci, Dept Math & Stat, POB 90950, Riyadh 11623, Saudi Arabia
[2] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, Tunis, Tunisia
来源：
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS | 2023年 / 27卷 / 04期
关键词：
Optimal design; Variable exponent; Gamma-convergence; Relaxation; Variational methods; 3D-2D ASYMPTOTIC ANALYSIS; LOWER SEMICONTINUITY; FUNCTIONALS;
D O I：
10.12941/jksiam.2023.27.296
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we derive the Gamma-limit of functionals pertaining to some optimal material distribution problems that involve a variable exponent, as the exponent goes to infinity. In addition, we prove a relaxation result for supremal optimal design functionals with respect to the weak-* L-infinity(Omega; [0, 1]) x W-1,W-p0 (Omega; R-m) weak topology.
引用
收藏
页码：296 / 310
页数：15
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