Real analytic families of harmonic functions in a domain with a small hole

DOI10.1016/j.jde.2012.03.007zbMath1241.31006arXiv1306.6185OpenAlexW1964839272MaRDI QIDQ424455

Matteo Dalla Riva, Paolo Musolino

Publication date: 1 June 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.6185

zbMATH Keywords

harmonic functionsreal analytic continuation in Banach spacesingularly perturbed perforated domains

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Asymptotic expansions of solutions to PDEs (35C20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10)

Related Items (10)

Shape analyticity and singular perturbations for layer potential operators ⋮ A mixed problem for the Laplace operator in a domain with moderately close holes ⋮ A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary ⋮ Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach ⋮ On Vibrating Thin Membranes with Mass Concentrated Near the Boundary: An Asymptotic Analysis ⋮ Real analytic families of harmonic functions in a planar domain with a small hole ⋮ A quasi-linear heat transmission problem in a periodic two-phase dilute composite. A functional analytic approach ⋮ Harmonic Functions in a Domain with a Small Hole: A Functional Analytic Approach ⋮ A few shape optimization results for a biharmonic Steklov problem ⋮ A singularly perturbed nonlinear traction problem in a periodically perforated domain: a functional analytic approach

Cites Work

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• Zur Struktur der Lösungsmenge des Plateauproblems
• Asymptotic behaviour of the solutions of a non-linear transmission problem for the Laplace operator in a domain with a small hole. A functional analytic approach
• Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach
• Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole. A functional analytic approach

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