$\Gamma$-Convergence through Young Measures

DOI10.1137/S0036141003425696zbMath1077.49012OpenAlexW1985717909MaRDI QIDQ4652479

Pablo Pedregal

Publication date: 28 February 2005

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

Full work available at URL: https://doi.org/10.1137/s0036141003425696

zbMATH Keywords

Young measures\(\Gamma\)-convergenceslicing decomposition

Mathematics Subject Classification ID

Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (8)

NON-PERIODIC Γ-CONVERGENCE: APPLICATION TO A MAIN EXAMPLE OF A NON-FINER OSCILLATION OPERATOR IN HIGHER DIMENSION ⋮ Reiterated homogenization of the vector potential formulation of a magnetostatic problem in anisotropic composite media ⋮ On \(\Gamma \)-convergence in divergence-free fields through Young measures ⋮ A variational approach to the homogenization of laminate metamaterials ⋮ PROJECTIONS ONTO THE CONE OF OPTIMAL TRANSPORT MAPS AND COMPRESSIBLE FLUID FLOWS ⋮ A note on Young measures and correctors in $\Gamma $-convergence and homogenization ⋮ \(\varGamma \)-convergence of quadratic functionals with oscillating linear perturbations ⋮ Homogenization of periodic nonconvex integral functionals in terms of Young measures

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