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The existence of multiple equilibrium points in a global attractor for some p-Laplacian equation
Authors:Bo You  Fang Li  Chengkui Zhong
Institution:1. School of Mathematics and Statistics, Xi''an Jiaotong University, Xi''an, 710049, PR China;2. Department of Mathematics, Nanjing University, Nanjing, 210093, PR China
Abstract:In this paper, we are mainly concerned with some properties of the global attractor for some p-Laplacian equation with a Lyapunov function in a Banach space. Under some suitable assumptions, we prove the existence of multiple equilibrium points in a global attractor for some p-Laplacian equation.
Keywords:Lyapunov function  Global attractor  Z2Z2 index" target="_blank">gif" overflow="scroll">Z2 index  Equilibrium points  p-Laplacian equations
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