Asymptotics of solution curves of Kirchhoff type elliptic equations with logarithmic Kirchhoff function

DOI10.1007/S12346-023-00762-7arXiv2210.14381MaRDI QIDQ6415140

Tetsutaro Shibata

Publication date: 25 October 2022

Abstract: We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with logarithmic Kirchhoff function. We establish the precise asymptotic formulas for the solution $u_{l}ambda(x)$ as $lambdaoinfty$. Here, $lambda>0$ is the bifurcation parameter.

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) Boundary eigenvalue problems for ordinary differential equations (34B09)

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