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一类具有p-Laplacian算子的Plate方程全局吸引子的性质

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nd Physics, Jiangsu University of Technology, ChangzhouР 213001,China)РР Abstract: This paper is concerned with a class of Plate equation with p-Laplacian. Many re-Рsearchers have studied the existence of attractors for these equations. However, there are not manyРstudies on the property of the attractor, especially, the estimates on the dimension of the attractor areРfinite. In this paper, we investigate the property of the attractor for the equation by getting the existenceРof multiple equilibrium points in attractor, in particular, we obtain the dimension of of attractor can beРarbitrarily large with the change of parameters under certain conditions.Р Key words: Global attractor; Equilibrium point; Lyapunov functional; Plate equation

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