Heteroclinic Solutions for Nonautonomous EFK Equations

Abstract

We explore the nonautonomous fourth-order differential equation which has important applications in materials science. By variational approach, we find heteroclinic solutions of the equation. The conditions on the potential function $V(t,u)$ are mild enough to include a broad class of equations. We also consider a separate case where $V(t,u)$ is periodic in $t$.