Positive entire solutions of semilinear elliptic equations
type: Item
instance of: scholarly article
title: Positive entire solutions of semilinear elliptic equations
zbMATH Open document ID: 0571.35037
DOI: 10.1007/BF01458018
author: Nobuyoshi Fukagai
published in: Mathematische Annalen
publication date: 1986-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164088
review text: Elliptic equations of the form (*) \(\Delta u-m^ 2u+f(x,u)=0\) are considered in the entire space \(R^ n\). Conditions are given for the existence of two types of positive solutions of (*); one growing exponentially as \(| x| \to \infty\) and the other decaying to zero as \(| x| \to \infty\). Furthermore, uniqueness of decaying solutions is studied.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B05
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 3910883
zbMATH Keywords: semilinear elliptic equations
zbMATH Keywords: existence
zbMATH Keywords: positive solutions
zbMATH Keywords: uniqueness
MaRDI profile type: Publication
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OpenAlex ID: W2027814756
description: scientific article; zbMATH DE number 3910883