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Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions (2403.14052v1)

Published 21 Mar 2024 in math.AP

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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