Least energy sign-changing solutions for asymptotically cubic Kirchhoff equations on locally finite graphs

RESUMO

We obtain the existence results of least energy sign-changing solutions and ground state solutions for a class of asymptotically cubic Kirchhoff equations with Dirichlet boundary value on a locally finite graph $G=(V,E)$, and obtain the least energy of sign-changing solutions is strictly larger than twice of the ground state energy.