Bifurcation diagrams of one-dimensional Kirchhoff-type equations

DOI10.1515/anona-2022-0265OpenAlexW3204113203MaRDI QIDQ2081365

Tetsutaro Shibata

Publication date: 12 October 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.14864

zbMATH Keywords

bifurcation curvesKirchhoff-type equationsexact value of the first eigenvalue

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (3)

Existence, uniqueness, localization and minimization property of positive solutions for non-local problems involving discontinuous Kirchhoff functions ⋮ Asymptotics of solution curves of Kirchhoff type elliptic equations with logarithmic Kirchhoff function ⋮ Asymptotic behavior of solution curves of nonlocal one-dimensional elliptic equations

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• Positive solutions for a quasilinear elliptic equation of Kirchhoff type
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