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arXiv · 2210.14381

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

Tetsutaro Shibata
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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 $\lambda \to \infty$. Here, $\lambda > 0$ is the bifurcation parameter.

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Tetsutaro Shibata. 2022-10-25. Asymptotics of solution curves of Kirchhoff type elliptic equations with logarithmic Kirchhoff function. https://arxiv.org/abs/2210.14381

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