Long-time Behavior For Weakly Damped Beam Equation With P-Laplacian

In this paper, we are concerned with the existence of the finite-dimensional global attractor and exponential attractor for the beam equation with low order perturbation of p-Laplacian type where sigma(z)=|z|p-2z,p≥2, a(u)>0is a continuous function, and the assumptions on nonlinear term f(u) and external force h will be specified later. Well-posedness, existence of finite-dimensional attractor and exponential attractor are proved.