We investigate the existence and multiplicity of nontrivial solutions for a Kirchhoff type problem involving the nonlocal integrodifferential operators with homogeneous Dirichlet boundary conditions. The main tool used for obtaining our result is Morse theory.
Yuping Cao. Chuanzhi Bai. "Multiplicity of Nontrivial Solutions for a Class of Nonlocal Elliptic Operators Systems of Kirchhoff Type." Abstr. Appl. Anal. 2014 1 - 6, 2014. https://doi.org/10.1155/2014/953846