Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains
type: Item
instance of: scholarly article
title: Existence of the perturbed solutions of semilinear elliptic equation in the singularly perturbed domains
zbMATH Open document ID: 0699.35076
published in: Proceedings of the Japan Academy. Series A
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.pja/1195513391
review text: The author continues his investigations concerning the problem \(\Delta v+f(v)=0\) in \(\Omega\) (\(\zeta)\), \(\partial u/\partial \nu =0\) on \(\partial \Omega (\zeta)\) with \(\Omega (\zeta)=D_ 1\cup D_ 2\cup Q(\zeta)\) when the domain Q(\(\zeta)\) connecting two bounded n-dimensional domains \(D_ 1\) and \(D_ 2\) shrinks to a line segment as \(\zeta\) \(\to 0\).
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 4146549
zbMATH Keywords: semilinear Laplace equation
zbMATH Keywords: singularly perturbed domains
author: Shuichi Jimbo
MaRDI profile type: Publication
OpenAlex ID: W2046508918
cites work: A nonlinear parabolic equation with varying domain
cites work: Characterization of the eigenfunctions in the singularly perturbed domain
cites work: Characterization of the eigenfunctions in the singularly perturbed domain. II
cites work: Singular perturbation of domains and the semilinear elliptic equation. II
cites work: The singularly perturbed domain and the characterization for the eigenfunctions with Neumann boundary condition
cites work: Asymptotic behavior and stability of solutions of semilinear diffusion equations
cites work: Bifurcations caused by perturbing the domain in an elliptic equation
DOI: 10.3792/PJAA.64.33
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description: scientific article; zbMATH DE number 4146549