This paper is concerned with the initial boundary value problem for viscoelastic Kirchhoff-
like plate equations with rotational inertia, memory, p-Laplacian restoring force, weak
damping, strong damping, and nonlinear source terms. We establish the local existence and
uniqueness of the solution by linearization and the contraction mapping principle. Then, we
obtain the global existence of solutions with subcritical and critical initial energy by applying
potential well theory. Then, we prove the asymptotic behavior of the global solution with …