Weak Limits in Nonlinear Conductivity

DOI10.1137/140960335zbMath1326.35166arXiv1402.0358OpenAlexW2116905734MaRDI QIDQ5264080

Pablo Pedregal

Publication date: 20 July 2015

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0358

zbMATH Keywords

relaxationYoung measureoptimal design

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Existence theories for free problems in one independent variable (49J05) Quasilinear elliptic equations with mean curvature operator (35J93)

Related Items (1)

Minimization of the elliptic higher eigenvalues for multiphase anisotropic conductors

Cites Work

• Relaxation through homogenization for optimal design problems with gradient constraints
• Quasiconvexification of sets in optimal design
• Homogenization of \(p\)-Laplacian in perforated domain
• Parametrized measures and variational principles
• Asymptotic analysis of periodically-perforated nonlinear media.
• Variational methods for structural optimization
• div-curl Young measures and optimal design in any dimension
• Generalized surfaces in the calculus of variations. II
• Vector variational problems and applications to optimal design
• The Theory of Composites
• Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media
• Random Homogenization ofp-Laplacian with Obstacles in Perforated Domain
• Shape optimization by the homogenization method
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