An average effect of many tiny holes in nonlinear boundary value problems with monotone boundary conditions

DOI10.3792/pjaa.62.133zbMath0633.35028OpenAlexW2081143594MaRDI QIDQ1096079

Satoshi Kaizu

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.133

zbMATH Keywords

Dirichlet problemcapacityLaplace equationpotential termtiny holes

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65)

Related Items (2)

Behavior of solutions of the Poisson equation under fragmentation of the boundary of the domain ⋮ Operator estimates for homogenization of the Robin Laplacian in a perforated domain

Cites Work

• A monotone boundary condition for a domain with many tiny spherical holds
• The Robin problems on domains with many tiny holes
• Potential and scattering theory on wildly perturbed domains
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