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

DOI10.1016/j.jmaa.2014.08.037zbMath1297.31006OpenAlexW4231417627MaRDI QIDQ458300

Paolo Musolino, Matteo Dalla Riva

Publication date: 7 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.08.037

zbMATH Keywords

Dirichlet problemplanar domains with a holereal analytic families of harmonic functions

Mathematics Subject Classification ID

Boundary value and inverse problems for harmonic functions in two dimensions (31A25)

Related Items (11)

Analytic dependence on parameters for Evans' approximated weak KAM solutions ⋮ Asymptotic analysis of variational inequalities with applications to optimum design in elasticity ⋮ 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 ⋮ Converging expansions for Lipschitz self-similar perforations of a plane sector ⋮ Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case ⋮ Harmonic Functions in a Domain with a Small Hole: A Functional Analytic Approach ⋮ The computational modeling of problems on domains with small holes ⋮ Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian ⋮ Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains

Cites Work

• A real analyticity result for a nonlinear integral operator
• Real analytic families of harmonic functions in a domain with a small hole
• Linear integral equations.
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Elliptic partial differential equations of second order
• Series expansions for the solution of the Dirichlet problem in a planar domain with a small hole
• 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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