Two-scale convergence of integral functionals with convex, periodic and nonstandard growth integrands

DOI10.1007/s10440-012-9702-6zbMath1258.35018OpenAlexW1994747391MaRDI QIDQ693161

Hubert Nnang, Joel Fotso Tachago

Publication date: 7 December 2012

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-012-9702-6

zbMATH Keywords

nonstandard growthOrlicz spacesperiodic homogenization

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

Homogenization of incompressible generalized Stokes flows through a porous medium ⋮ A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting ⋮ Periodic homogenization of parabolic nonstandard monotone operators ⋮ Relaxation of Periodic and Nonstandard Growth Integrals by Means of Two-Scale Convergence ⋮ Orlicz equi-integrability for scaled gradients ⋮ Deterministic homogenization of nonlinear degenerate elliptic operators with nonstandard growth ⋮ Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Deterministic homogenization of integral functionals with convex integrands
• Homogenization of non-coercive integrals
• Approximation of quasiconvex functions, and lower semicontinuity of multiple integrals
• On the Orlicz-Sobolev imbedding theorem
• Homogenization of Dirichlet problems with convex bounded constraints on the gradient
• Homogenization structures and applications. I
• AVERAGING DIFFERENTIAL OPERATORS WITH ALMOST PERIODIC, RAPIDLY OSCILLATING COEFFICIENTS
• Some approximation properties in Orlicz-Sobolev spaces
• Homogenization and Two-Scale Convergence
• A General Convergence Result for a Functional Related to the Theory of Homogenization
• Imbeddings of anisotropic Orlicz-Sobolev spaces and applications
• An imbedding theorem for H°(G,Ω)-spaces
• Fubini Theorems for Orlicz Spaces of Lebesgue-Bochner Measurable Functions

This page was built for publication: Two-scale convergence of integral functionals with convex, periodic and nonstandard growth integrands