Global behavior of the branch of positive solutions for nonlinear Sturm-Liouville problems

DOI10.1007/s10231-006-0017-yzbMath1150.34007OpenAlexW2022384345MaRDI QIDQ997542

Tetsutaro Shibata

Publication date: 7 August 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-006-0017-y

zbMATH Keywords

Bifurcation diagramAsymptotic behavior\(L^2\)-framework

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Sturm-Liouville theory (34B24) Asymptotic theory for ordinary differential equations (34E99)

Related Items (5)

Asymptotic Approach to Inverse Bifurcation for Nonlinear Sturm-Liouville Problems ⋮ New asymptotic formula for eigenvalues of nonlinear Sturm-Liouville problems ⋮ Inverse bifurcation problems for diffusive logistic equation of population dynamics ⋮ Upper and lower bounds for higher order eigenvalues of some semilinear elliptic equations ⋮ A-priori bounds and asymptotics on the eigenvalues in bifurcation problems for perturbed self-adjoint operators

Cites Work

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• Remarks on bifurcation for elliptic operators with odd nonlinearity
• Le nombre de solutions de certains problèmes semi-linéaires elliptiques
• Uniqueness of global positive solution branches of nonlinear elliptic problems
• Precise spectral asymptotics for nonlinear Sturm-Liouville problems
• Existence and bifurcation theorems for nonlinear elliptic eigenvalue problems of unbounded domains
• On the global structure of the set of positive solutions of some semilinear elliptic boundary value problems
• Some global results for nonlinear eigenvalue problems
• A note on a nonlinear eigenvalue problem for a class of differential equations
• On nonlinear eigenvalue problems
• Constrained critical points and eigenvalue approximation for semilinear elliptic operators
• On spectral asymptotics and bifurcation for elliptic operators with odd superlinear term

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