Uniqueness for positive solutions of \(p\)-Laplacian problem in an annulus
type: Item
instance of: scholarly article
title: Uniqueness for positive solutions of \(p\)-Laplacian problem in an annulus
zbMATH Open document ID: 0958.35046
author: Eric Nabana
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 2001-02-08T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73475
review text: In an annulus the \(p\)-Laplacian with homogeneous Dirichlet boundary conditions is studied on the uniqueness of positive radial solutions. First using change of variables the problem is reformulated into an equivalent Dirichlet problem for an ordinary differential equation (ODE). Then a suitable initial value problem for this ODE is studied in detail. Using these results and a shooting method the uniqueness of the solution of a homogeneous Dirichlet problem for the ODE is proved. The equivalence between the ODE and the \(p\)-Laplacian under consideration gives the uniqueness result for the original problem.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35A35
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B05
zbMATH DE Number: 1491218
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: uniqueness
zbMATH Keywords: radial solutions
reviewed by: Ramaz Botchorishvili
MaRDI profile type: Publication
OpenAlex ID: W2332246293
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DOI: 10.5802/AFST.926
description: scientific article; zbMATH DE number 1491218