Exact multiplicity and ordering properties of positive solutions of a \(p\)-Laplacian Dirichlet problem and their applications.
type: Item
instance of: scholarly article
title: Exact multiplicity and ordering properties of positive solutions of a \(p\)-Laplacian Dirichlet problem and their applications.
zbMATH Open document ID: 1046.34040
DOI: 10.1016/S0022-247X(02)00520-6
author: Shin-Hwa Wang
author: Tzung-Shin Yeh
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-01-06T00:00:00Z
review text: The authors discuss the exact multiplicity and ordering properties of positive solutions to a nonlinear one-dimensional Dirichlet problem associated with the p-Laplacian, where p is greater than 1. This extends a result of \textit{S.-H. Wang} and \textit{D.-M. Long} [Nonlinear Anal., Theory Methods Appl. 44A, No. 4, 469--486 (2001; Zbl 0992.34014)], where the case p=2 was considered. The theory is applied to the study of a Dirichlet problem with polynomial nonlinearities, and to that of a stationary singular diffusion problem.
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34B18
zbMATH DE Number: 2022063
zbMATH Keywords: exact multiplicity
zbMATH Keywords: bifurcation
zbMATH Keywords: \(p\)-Laplacian
reviewed by: Sergiu Aizicovici
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2022063