Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros
type: Item
instance of: scholarly article
title: Radial solutions of \(\Delta u+f(u)=0\) with prescribed numbers of zeros
zbMATH Open document ID: 0695.34020
DOI: 10.1016/0022-0396(90)90063-U
author: Kevin McLeod
author: W. C. Troy
author: Fred B. Weissler
published in: Journal of Differential Equations
publication date: 1990-01-01T00:00:00Z
review text: A source-nonlinear second order Dirichlet boundary value problem for ODE in connection with standing wave solutions of nonlinear Schrödinger equations is investigated. Under certain conditions imposed on the nonlinearity, the existence of a solution with prescribed number of zeros is established.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34C10
Mathematics Subject Classification ID: 35J60
zbMATH DE Number: 4138183
zbMATH Keywords: source-nonlinear second order Dirichlet boundary value problem
zbMATH Keywords: standing wave solutions of nonlinear Schrödinger equations
zbMATH Keywords: prescribed number of zeros
reviewed by: Nikolai L. Vulchanov
MaRDI profile type: Publication
cites work: Nonlinear scalar field equations. I: Existence of a ground state
cites work: Q3916903
cites work: On the Infinitely Many Solutions of a Semilinear Elliptic Equation
cites work: Uniqueness of positive radial solutions of \(\Delta u+f(u)=0\) in \({\mathbb{R}}^ n\)
cites work: Uniqueness of positive solutions of semilinear equations in \(R^ n\).
cites work: Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
cites work: Existence of solitary waves in higher dimensions
cites work: Asymptotic analysis of an ordinary differential equation and non-uniqueness for a semilinear partial differential equation
full work available at URL: 0022-0396(90)90063-u
OpenAlex ID: W2078472170
description: scientific article; zbMATH DE number 4138183