Global and blow-up solutions to a p-laplacian equation with nonlocal source

被引：0
|
作者：
Li, FC [1 ]
Xie, CH [1 ]
机构：
[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2003年 / 46卷 / 10-11期
关键词：
p-laplacian equation; nonlocal source; global existence; blow-up;
D O I：
10.1016/S0898-1221(03)90188-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a p-Laplacian equation u(t) - div(\delu\(p-2)delu) = integral(Omega) u(q) (x, t) dx with null Dirichlet boundary conditions in a bounded domain Omega subset of R-N, where p > 2, q greater than or equal to 1. Under appropriate hypotheses, we-establish local theory of the solution and obtain that the solution either exists globally or blows up in finite time. (C) 2003 Elsevier Ltd. All rights reserved.
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页码：1525 / 1533
页数：9
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