Effective energy integral functionals for thin films with bending moment in the Orlicz–Sobolev space setting

DOI10.4064/bc102-0-10zbMath1307.49014OpenAlexW2319555772MaRDI QIDQ5172670

Włodzimierz Laskowski, Nguyêñ Hôǹg Thái

Publication date: 4 February 2015

Published in: Banach Center Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/bc102-0-10

zbMATH Keywords

integral functionalsOrlicz-Sobolev spacesthin films\(\Gamma\)-convergence

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elasticity (74B20) Thin films (74K35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Methods involving semicontinuity and convergence; relaxation (49J45) Membranes (74K15)

Related Items (5)

A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting ⋮ Orlicz equi-integrability for scaled gradients ⋮ Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting ⋮ Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

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