On a variational inequality for a plate equation with p-Laplacian end memory terms

摘要

In this paper we investigate the unilateral problem for a plate equation with memory terms and lower order perturbation of p-Laplacian type u '' + Delta(2)u - Delta(p)u + integral(t)(0) g(t - s)Delta u(s) ds + Delta u' + f (u) = 0 in Omega x R+, where Omega is a bounded domain of R-n, g > 0 is a memory kernel and f (u) is a nonlinear perturbation. Using the penalty and Faedo-Galerkin's methods, we establish results on existence and uniqueness of weak solutions.