Exact solutions and bifurcation curves of nonlocal elliptic equations with convolutional Kirchhoff functions
Tetsutaro Shibata · Boundary Value Problems · 2024
Abstract We study the one-dimensional nonlocal elliptic equation of Kirchhoff type with convolutional Kirchhoff functions. We establish the exact solutions $u_{\lambda}$ u λ and bifurcation curves $\lambda (\alpha )$ λ ( α ) , where $\alpha := \Vert u_{\lambda}\Vert _{\infty}$ α : = ∥ u λ ∥ ∞ .