HOMOGENIZATION OF L∞ FUNCTIONALS

DOI10.1142/S0218202504003817zbMath1069.49017OpenAlexW2070236574MaRDI QIDQ4678332

Adriana Garroni, Francesca Prinari, Ariela Briani

Publication date: 23 May 2005

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202504003817

zbMATH Keywords

homogenizationrepresentationsupremal functionals

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Optimality conditions for free problems in two or more independent variables (49K10) Periodic optimal control problems (49N20)

Related Items (6)

Lower semicontinuity and relaxation of nonlocal \(L^\infty\)-functionals ⋮ Stochastic homogenization of \(L^\infty\) variational problems ⋮ A relaxation result in the vectorial setting and power law approximation for supremal functionals ⋮ A note on dimension reduction for unbounded integrals with periodic microstructure via the unfolding method for slender domains ⋮ Semicontinuity and supremal representation in the calculus of variations ⋮ Cartesian convexity as the key notion in the variational existence theory for nonlocal supremal functionals

Cites Work

• Unnamed Item
• Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient
• Homogenization in \(L^\infty\)
• Extension of functions satisfying Lipschitz conditions
• Some Model Problems of Polycrystal PLasticity with Deficient Basic Crystals
• Relaxed Minimax Control
• Lower semicontinuity of \(L^\infty\) functionals.

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