Isolated singularities and positive solutions of elliptic equations in \(R^ n\)
type: Item
instance of: scholarly article
title: Isolated singularities and positive solutions of elliptic equations in \(R^ n\)
zbMATH Open document ID: 0652.35026
author: Minoru Murata
published in: Proceedings of the Japan Academy. Series A
publication date: 1987-01-01T00:00:00Z
review text: It is established a correspondence between the singular solutions to an elliptic equation in a ball and those to an equation in \(R^ n\). For this is used the generalized Kelvin transformation, introduced by \textit{J. Serrin} and \textit{H. F. Weinberger} [Am. J. Math. 88, 258-272 (1966; Zbl 0137.070)], and some previous results of the author.
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A20
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 4063623
zbMATH Keywords: singular solutions
zbMATH Keywords: Kelvin transformation
reviewed by: Gelu Paşa
MaRDI profile type: Publication
full work available at URL: pjaa.63.146
OpenAlex ID: W1975690969
cites work: Q3727040
cites work: Criticality and the \(\lambda\)-property for elliptic equations
cites work: Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\)
cites work: Picard principle and Riemann theorem
cites work: The distribution of Picard dimensions
cites work: Isolated singularities of solutions of quasi-linear equations
cites work: Isolated Singularities of Solutions of Linear Elliptic Equations
cites work: Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
cites work: Isolated singularities of the solutions of the Schrödinger equation with a radial potential
DOI: 10.3792/PJAA.63.146
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description: scientific article; zbMATH DE number 4063623