Optimal design problems for two-phase conducting composites with weakly discontinuous objective functionals

DOI10.1006/aama.2001.0757zbMath1001.49002OpenAlexW2111536749MaRDI QIDQ1604342

Yury Grabovsky

Publication date: 4 July 2002

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/9b39a3b75a0bf7e29b15f0d1dd1733c9e3dbdcbf

zbMATH Keywords

nonlinear functionaloptimal designelliptic equationexplicit relaxation

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Variational problems in a geometric measure-theoretic setting (49Q20) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization problems in solid mechanics (74P99) Existence theories for optimal control problems involving partial differential equations (49J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

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