A Note on Optimal Design for Thin Structures in the Orlicz–Sobolev Setting

DOI10.1007/978-3-319-59384-5_14zbMath1441.35228OpenAlexW2755305382MaRDI QIDQ4562849

Elvira Zappale, Piotr Antoni Kozarzewski

Publication date: 18 December 2018

Published in: Integral Methods in Science and Engineering, Volume 1 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-59384-5_14

Mathematics Subject Classification ID

Energy minimization in equilibrium problems in solid mechanics (74G65) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Effective energy integral functionalsfor thin films on curl-free vector fields in the Orlicz–Sobolev space setting ⋮ Multiscale homogenization of integral convex functionals in Orlicz Sobolev setting ⋮ A \(\Gamma\)-convergence result for optimal design problems ⋮ Reiterated periodic homogenization of integral functionals with convex and nonstandard growth integrands

Cites Work

• Orlicz equi-integrability for scaled gradients
• Two-scale convergence of integral functionals with convex, periodic and nonstandard growth integrands
• On the Orlicz-Sobolev imbedding theorem
• On principal eigenvalues for quasilinear elliptic differential operators: an Orlicz-Sobolev space setting
• An optimal design problem with perimeter penalization
• An introduction to \(\Gamma\)-convergence
• The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
• 3D-2D dimensional reduction for a nonlinear optimal design problem with perimeter penalization
• Orlicz-Sobolev spaces and imbedding theorems
• 3D-2D Asymptotic Analysis for Inhomogeneous Thin Films
• Spatial heterogeneity in 3D-2D dimensional reduction
• Optimal design and relaxation of variational problems, I
• Some approximation properties in Orlicz-Sobolev spaces
• 3D-2D asymptotic analysis of an optimal design problem for thin films
• Traces of Orlicz‐Sobolev functions under general growth restrictions
• Effective energy integral functionals for thin films with bending moment in the Orlicz–Sobolev space setting
• Sobolev Spaces
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