Multiple equilibrium points in global attractors for some p-Laplacian equations

被引：4
|
作者：
Li, Fang [1 ]
You, Bo [2 ]
Zhong, Chengkui [3 ]
机构：
[1] Xidian Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China
[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian, Shaanxi, Peoples R China
[3] Nanjing Univ, Dept Math, Nanjing, Jiangsu, Peoples R China
来源：
APPLICABLE ANALYSIS | 2018年 / 97卷 / 09期
基金：
美国国家科学基金会;
关键词：
Lyapunov function; global attractor; Z(2)-index; equilibrium point; p-Laplacian; INFINITE-DIMENSIONAL ATTRACTORS; NONLINEAR PARABOLIC EQUATIONS; EXISTENCE;
D O I：
10.1080/00036811.2017.1322199
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we continue to study the properties of the global attractor for some p-Laplacian equations with a Lyapunov function F in a Banach space when the origin is no longer a local minimum point but a saddle point of F. By using the abstract result established in our previous work, we prove the existence of multiple equilibrium points in the global attractor for some p-Laplacian equations under some suitable assumptions in the case that the origin is an unstable equilibrium point.
引用
收藏
页码：1591 / 1599
页数：9
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