Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions

Tetsutaro Shibata

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arXiv · 2403.14052

Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions

Tetsutaro Shibata

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Abstract

We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions $u_\lambda$ and bifurcation curves $\lambda(\alpha)$, where $\alpha:= \Vert u_\lambda\Vert_\infty$.

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Tetsutaro Shibata. 2024-03-21. Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions. https://arxiv.org/abs/2403.14052

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