A complete classification of bifurcation diagrams of classes of multiparameter \(p\)-Laplacian boundary value problems

DOI10.1016/j.jde.2008.10.035zbMath1175.34018OpenAlexW2015789600MaRDI QIDQ1006102

Shin-Hwa Wang, Kuo-Chih Hung

Publication date: 17 March 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.10.035

zbMATH Keywords

multiplicitypositive solution\(p\)-Laplacianbifurcation diagrammultiparameter problem

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items

Bifurcation and one-sign solutions of the \(p\)-Laplacian involving a nonlinearity with zeros ⋮ Exact multiplicity of positive solutions of a semipositone problem with concave-convex nonlinearity ⋮ The spectrum in \(\mathbb R\) and \(\mathbb R^2\) of nonlinear elliptic equations with positive parameters ⋮ Bifurcation diagrams of a \(p\)-Laplacian Dirichlet problem with Allee effect and an application to a diffusive logistic equation with predation ⋮ Exact multiplicity of positive solutions for a \(p\)-Laplacian equation with positive convex nonlinearity ⋮ A complete classification of bifurcation diagrams for a class of \((p,q)\)-Laplace equations ⋮ Classification and evolution of bifurcation curves for a multiparameter \(p\)-Laplacian Dirichlet problem ⋮ Unilateral Global Bifurcation for Eigenvalue Problems with Homogeneous Operator

Cites Work

• Combined effects of concave and convex nonlinearities in some elliptic problems
• Exact multiplicity and ordering properties of positive solutions of a \(p\)-Laplacian Dirichlet problem and their applications.
• On uniqueness of positive solutions for a class of semilinear equations.
• Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities
• A complete classification of bifurcation diagrams of a \(p\)-Laplacian Dirichlet problem
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