摘要
本文旨在研究一类具有p-Laplacian算子的Plate方程全局吸引子的性质.关于这类方程吸引子存在性已有很多结果,然而关于吸引子性质的研究不多,并且关于吸引子维数的估计已知结果都是有限维.本文证明了吸引子里多重平衡点的存在性,特别地,在一定条件下得到了吸引子维数随着参数的变化可以任意大.
This paper is concerned with a class of Plate equation with p-Laplacian.Many researchers have studied the existence of attractors for these equations.However,there are not many studies on the property of the attractor,especially,the estimates on the dimension of the attractor are finite.In this paper,we investigate the property of the attractor for the equation by getting the existence of multiple equilibrium points in attractor,in particular,we obtain the dimension of of attractor can be arbitrarily large with the change of parameters under certain conditions.
作者
孟凤娟
刘存才
张昶
MENG Fengjuan;LIU Cuncai;ZHANG Chang(School of Mathematics and Physics,Jiangsu University of Technology,Changzhou 213001,China)
出处
《应用数学》
CSCD
北大核心
2022年第3期634-641,共8页
Mathematica Applicata
基金
国家自然科学基金(12026431,11701230,11801227,11801228)
江苏高校“青蓝工程”资助。
