Singular Perturbations of Elliptic Problems on Domains with Small Holes

DOI10.1002/sapm199492155zbMath0805.35033OpenAlexW2474491868MaRDI QIDQ4297197

Hubertus J. Weinitschke, Charles G. Lange

Publication date: 1 January 1995

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm199492155

zbMATH Keywords

asymptotic outer and inner expansionsplane domains with small circular holesvibration of a rectangular membrane

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Singular perturbations in context of PDEs (35B25)

Related Items (3)

Reaction rate of small diffusing molecules on a cylindrical membrane ⋮ DIFFUSION AND BIFURCATION PROBLEMS IN SINGULARLY PERTURBED DOMAINS ⋮ Singularly perturbed problems in partial differential equations: A survey

Cites Work

• Solutions of semilinear elliptic problems in shrinking annuli
• Singular variation of domains and eigenvalues of the Laplacian
• Singuläre Störung von Randwertproblemen durch ein kleines Loch im Gebiet. (Singular perturbation of boundary value problems by a small hole in the domain)
• Asymptotic solutions for finite deformation of thin shells of revolution with a small circular hole
• Branching from Closely Spaced Eigenvalues with Application to a Model Biochemical Reaction
• Branching from Large Eigenvalues of Nonlinear Sturm–Liouville Systems
• Singular Perturbations of Limit Points with Application to Tubular Chemical Reactors
• Basic Concepts Underlying Singular Perturbation Techniques
• Proof of Some Asymptotic Results for a Model Equation for Low Reynolds Number Flow
• On the Lagerstrom Mathematical Model for Viscous Flow at Low Reynolds Number

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