Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)
type: Item
instance of: scholarly article
title: Bifurcation of sign-changing solutions for one-dimensional \(p\)-Laplacian with a strong singular weight; \(p\)-sublinear at \(\infty \)
zbMATH Open document ID: 1183.34019
author: J. Blot
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2009-06-24T00:00:00Z
review text: To establish the existence, uniqueness, nonexistence, multiplicity of positive solutions, and sign-changing solutions of second order two-point boundary value problems involving the \(p\)-Laplacian with a parameter the authors have cleverly used some properties of the eigenfunctions and the global bifurcation theory. The results in the paper are very interesting.
Mathematics Subject Classification ID: 34B09
Mathematics Subject Classification ID: 34B16
Mathematics Subject Classification ID: 34C23
zbMATH DE Number: 5569418
zbMATH Keywords: \(p\)-Laplace equation
zbMATH Keywords: singular weight
zbMATH Keywords: Leray-Schauder degree
zbMATH Keywords: bifurcation
zbMATH Keywords: positive solution
zbMATH Keywords: sign-changing solution
MaRDI profile type: Publication
full work available at URL: j.na.2008.11.056
OpenAlex ID: W2051610973
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DOI: 10.1016/J.NA.2008.11.056
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description: scientific article; zbMATH DE number 5569418