Lipschitz estimates and existence of correctors for nonlinearly elastic, periodic composites subject to small strains

DOI10.1007/s00526-019-1495-2zbMath1461.35028arXiv1807.09109OpenAlexW2963863733MaRDI QIDQ1725721

Stefan Neukamm, Mathias Schäffner

Publication date: 14 February 2019

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1807.09109

zbMATH Keywords

energy minimizersperiodic homogenizationLipschitz estimates

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear elasticity (74B20) Homogenization in equilibrium problems of solid mechanics (74Q05) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (5)

Homogenization theory: periodic and beyond. Abstracts from the workshop held March 14--20, 2021 (online meeting) ⋮ Stochastic Homogenization and Geometric Singularities: A Study on Corners ⋮ Quantitative nonlinear homogenization: control of oscillations ⋮ Uniqueness of equilibrium with sufficiently small strains in finite elasticity ⋮ Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems

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