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

Abstract

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

Keywords

• Nonlocal elliptic equations
• Convolutional Kirchhoff functions
• Exact solutions