A Γ-CONVERGENCE APPROACH TO NON-PERIODIC HOMOGENIZATION OF STRONGLY ANISOTROPIC FUNCTIONALS

DOI10.1142/S0218202504003805zbMath1069.49015MaRDI QIDQ4678331

Maria Carla Tesi, Annalisa Baldi

Publication date: 23 May 2005

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

zbMATH Keywords

weighted Sobolev spaces\(\Gamma\)-convergencedegenerate variational problems

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) Degenerate elliptic equations (35J70) 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)

Related Items (2)

Γ-convergence and stochastic homogenization of degenerate integral functionals in weighted Sobolev spaces ⋮ Stochastic Homogenization of Nonconvex Discrete Energies with Degenerate Growth

Cites Work

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• Non convex homogenization problems for singular structures
• Non-homogeneous media and vibration theory
• Some properties of Gamma-limits of integral functionals
• Effective Chemical Processes in Porous Media
• HOMOGENIZATION OF BOUNDARY VALUE PROBLEMS AND SPECTRAL PROBLEMS FOR NEUTRON TRANSPORT IN LOCALLY PERIODIC MEDIA
• Compactness and convergence of minimum points for a class of nonlinear nonequicoercive functionals
• Geometric aspects of averaging
• The Theory of Composites
• Homogenization for strongly anisotropic nonlinear elliptic equations

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