Relaxation of Periodic and Nonstandard Growth Integrals by Means of Two-Scale Convergence

DOI10.1007/978-3-030-16077-7_10zbMath1444.49010arXiv1811.12501OpenAlexW2902792556MaRDI QIDQ3294818

Joel Fotso Tachago, Hubert Nnang, Elvira Zappale

Publication date: 29 June 2020

Published in: Integral Methods in Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.12501

zbMATH Keywords

nonstandard growthOrlicz spacesperiodic homogenizationtwo-scale convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (2)

Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

Cites Work

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• Two-scale convergence of integral functionals with convex, periodic and nonstandard growth integrands
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• The Periodic Unfolding Method in Homogenization
• Homogenization of Quasiconvex Integrals via the Periodic Unfolding Method

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