A CLASS OF DOUBLY DEGENERATE PARABOLIC EQUATIONS WITH PERIODIC SOURCES

被引：2
|
作者：
Sun, Jiebao [1 ]
Wu, Boying [1 ]
Li, Jing [1 ]
Zhang, Dazhi [1 ]
机构：
[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2010年 / 14卷 / 03期
关键词：
Periodic solutions; Doubly degenerate; Moser iteration; Leray-Schauder degree;
D O I：
10.3934/dcdsb.2010.14.1199
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a class of doubly degenerate parabolic equations with periodic sources subject to homogeneous Dirichlet boundary conditions. By means of the theory of Leray-Schauder degree, we establish the existence of non-trivial nonnegative periodic solutions. The key step is how to establish the uniform bound estimate of approximate solutions, for this purpose we will make use of Moser iteration and some results of the eigenvalue problem for the p-Laplacian equation.
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页码：1199 / 1210
页数：12
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