Global bifurcation from Fučik spectrum
type: Item
instance of: scholarly article
title: Global bifurcation from Fučik spectrum
zbMATH Open document ID: 0971.34024
author: Walter Dambrosio
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 2001-10-19T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/108526
review text: The author deals with boundary value problems for the one dimensional \(p\)-Laplacian operator of the type \[ ((\phi)_p(u'))'+a(\phi)_p(u^+)-b(\phi)_p(u^-)+g(t,u,u')=0, \quad u(0)=0=u(\pi). \] He relies on an application of a multiparameter bifurcation theorem to prove the existence of global bifurcating sets of solutions.
reviewed by: Abdelkader Boucherif
Mathematics Subject Classification ID: 34C23
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 37G15
Mathematics Subject Classification ID: 47J15
Mathematics Subject Classification ID: 58E07
zbMATH DE Number: 1544948
zbMATH Keywords: multiparameter bifurcation
zbMATH Keywords: one-dimensional \(p\)-Laplacian operator
zbMATH Keywords: Fucik spectrum
MaRDI profile type: Publication
cites work: Global and local behavior of bifurcating multidimensional continua of solutions for multiparameter nonlinear eigenvalue problems
cites work: Quasilinear equations with a multiple bifurcation
cites work: Q4764181
cites work: Nonlinear problems of elasticity
cites work: Bifurcation from eigencurves of the \(p\)-Laplacian
cites work: Global Preservation of Nodal Structure in Coupled Systems of Nonlinear Sturm-Liouville Boundary Value Problems
cites work: Multiplicity results for some two-point superlinear asymmetric boundary value problem
cites work: On the Dirichlet problem for weakly non-linear elliptic partial differential equations
cites work: Multiple solutions of weakly-coupled systems with \(p\)-Laplacian operators
cites work: A homotopic deformation along \(p\) of a Leray-Schauder degree result and existence for \((| u'| ^{p-2}u')'+f(t,u)=0\), \(u(0)=u(T)=0\), \(p>1\)
cites work: On the global bifurcation for a class of degenerate equations
cites work: Q4003841
cites work: Bifurcations of second order problems with jumping nonlinearities
cites work: Multiple solutions of semilinear elliptic problems in a ball
cites work: Global several-parameter bifurcation and continuation theorems: a unified approach via complementing maps
cites work: Q3900559
cites work: The existence of solutions to a class of semilinear differential equations
cites work: Connected sets in multiparameter bifurcation
cites work: Some global results for nonlinear eigenvalue problems
cites work: Some aspects of nonlinear eigenvalue problems
cites work: A vector parameter global bifurcation result
Recommended article: Bifurcation and global dynamical behavior of the f(T) theory
Recommended article: Q4440632
Recommended article: Global bifurcation for nonlinear equations
Recommended article: Global bifurcation on time scales
Recommended article: Q2990359
Recommended article: Global bifurcation for Fredholm operators
Recommended article: Q3692506
Recommended article: Q3333767
Recommended article: Global bifurcation of periodic solutions
Recommended article: Bifurcation surfaces stemming from the Fučik spectrum
description: scientific article; zbMATH DE number 1544948