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

页码：385 / 412

页数：28

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