On some sharp bounds for the homogenizedp-poisson equation

DOI10.1080/00036819508840366zbMath0832.35009OpenAlexW1965231364MaRDI QIDQ4854560

Lars-Erik Persson, Dag Lukkassen, Peter Wall

Publication date: 14 November 1995

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036819508840366

zbMATH Keywords

optimal microstructures\(p\)-Poisson equationsbounds of the effective energy

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (8)

REITERATED HOMOGENIZATION OF INTEGRAL FUNCTIONALS ⋮ Bounds and numerical results for homogenized degenerated \(p\)-Poisson equations. ⋮ A note on bounds for non-linear multivalued homogenized operators ⋮ Bounds and estimates on the effective properties for nonlinear composites ⋮ Application of homogenization theory related to Stokes flow in porous media. ⋮ Nonlinear Variational Methods for Estimating Effective Properties of Multiscale Materials ⋮ A comparison of homogenization, Hashin-Shtrikman bounds and the Halpin-Tsai equations ⋮ Hölder continuity of the inverse of \(p\)-Laplacian

Cites Work

• Unnamed Item
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Bounds and estimates for the properties of nonlinear heterogeneous systems
• On characterizing the set of possible effective tensors of composites: The variational method and the translation method

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