An optimal design problem with non-standard growth and no concentration effects

被引：4
|
作者：
Barroso, Ana Cristina [1 ,2 ]
Zappale, Elvira [3 ]
机构：
[1] Univ Lisbon, Dept Matemat, Fac Ciencias, Edificio C6,Piso 1, P-1749016 Lisbon, Portugal
[2] Univ Lisbon, CMAFcIO, Fac Ciencias, Edificio C6,Piso 1, P-1749016 Lisbon, Portugal
[3] Sapienza Univ Roma, Dipartimento Sci Base & Appl Ingn, Via Antonio Scarpa 16, I-00161 Rome, Rm, Italy
来源：
ASYMPTOTIC ANALYSIS | 2022年 / 128卷 / 03期
关键词：
Non-standard growth conditions; optimal design; damage; dimension reduction; thin films; sets of finite perimeter; convexity; 3D-2D ASYMPTOTIC ANALYSIS; MULTIPLE INTEGRALS; RELAXATION; PERIMETER; FUNCTIONALS; ENERGY;
D O I：
10.3233/ASY-211711
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We obtain an integral representation for certain functionals arising in the context of optimal design and damage evolution problems under non-standard growth conditions and perimeter penalisation. Under our hypotheses, the integral representation includes a term which is absolutely continuous with respect to the Lebesgue measure and a perimeter term, but no additional singular term.
引用
收藏
页码：385 / 412
页数：28
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