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Asymptotics of Solution Curves of Kirchhoff Type Elliptic Equations with Logarithmic Kirchhoff Function

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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 \(u_\lambda (x)\) as \(\lambda \rightarrow \infty \). Here, \(\lambda > 0\) is the bifurcation parameter.

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Funding

This work was supported by JSPS KAKENHI Grant no. JP21K03310.

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  1. Laboratory of Mathematics, Graduate School of Advanced Science and Engineering, Hiroshima University, Higashi-Hiroshima, 739-8527, Japan

    Tetsutaro Shibata

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  1. Tetsutaro Shibata
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All the theorems in this manuscript are proved by Tetsutaro Shibata.

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Correspondence to Tetsutaro Shibata.

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Shibata, T. Asymptotics of Solution Curves of Kirchhoff Type Elliptic Equations with Logarithmic Kirchhoff Function. Qual. Theory Dyn. Syst. 22, 64 (2023). https://doi.org/10.1007/s12346-023-00762-7

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  • DOI: https://doi.org/10.1007/s12346-023-00762-7

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