Journal of the Korean Society for Industrial and Applied Mathematics

  • 제27권4호
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  • Pages.296-310
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  • 2023
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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Γ-CONVERGENCE FOR AN OPTIMAL DESIGN PROBLEM WITH VARIABLE EXPONENT

  • HAMDI ZORGATI (DEPARTMENT OF MATHEMATICS AND STATISTICS, COLLEGE OF SCIENCES, IMAM MOHAMMAD IBN SAUD ISLAMIC UNIVERSITY (IMSIU))
  • 투고 : 2023.06.27
  • 발행 : 2023.12.25
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초록

In this paper, we derive the Γ-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∞(Ω; [0, 1])× W1,p0 (Ω;ℝm) weak topology.

키워드

과제정보

I wish to thank Professor Herve Le Dret for many useful discussions concerning the subject of this paper. The author's work was supported by IMSIU.

참고문헌

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