On the homogenization of some boundary-value problems in domains with thin channels

DOI10.1007/s10958-005-0181-4zbMath1120.35009OpenAlexW1997216485MaRDI QIDQ997745

Tatiana A. Shaposhnikova

Publication date: 7 August 2007

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-005-0181-4

zbMATH Keywords

Laplace operatorbiharmonic operatorplane domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Boundary value problems for higher-order elliptic equations (35J40) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (1)

Asymptotic analysis of the Poisson-Boltzmann equation in biological membrane channels

Cites Work

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• Homogenization of the Neumann problem in a domain a part of which is a set of channels
• Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length

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