On the Poincaré inequality for periodic composite structures

DOI10.1134/S0081543808020247zbMath1238.28001OpenAlexW2029470057MaRDI QIDQ764681

V. V. Shumilova

Publication date: 14 March 2012

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808020247

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) Contents, measures, outer measures, capacities (28A12) Classes of sets (Borel fields, (sigma)-rings, etc.), measurable sets, Suslin sets, analytic sets (28A05) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Compactness principle for periodic singular and fine structures
• Connectedness and homogenization. Examples of fractal conductivity
• Homogenization of elasticity problems on singular structures

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