一类具变指数源的p-Laplace方程解的爆破时间下界

吉林大学学报(理学版)

一类具变指数源的p-Laplace方程解的爆破时间下界

孟繁慧¹, 高文杰²

1. 长春金融高等专科学校, 长春 130028; 2. 吉林大学数学学院, 长春 130012

收稿日期:2013-11-26 出版日期:2014-05-26 发布日期:2014-08-27
通讯作者: 高文杰 E-mail:wjgao@jlu.edu.cn

Lower Bounds for the Blowup Time of Solutions toa Class of p-Laplace Equation with Variable Sources

MENG Fanhui¹, GAO Wenjie^2

1. Changchun Finance College, Changchun 130028, China;2. College of Mathematics, Jilin University, Changchun 130012, China

Received:2013-11-26 Online:2014-05-26 Published:2014-08-27
Contact: GAO Wenjie E-mail:wjgao@jlu.edu.cn

摘要/Abstract

摘要：

考虑一类具变指数源的p-Laplace方程的Dirichlet边值问题解的爆破性质, 通过构造恰当的辅助函数并利用一阶微分不等式, 得到了解爆破时间的下界估计.

关键词: 变指数源, p-Laplace方程, 爆破时间下界

Abstract:

This paper deals with the blowup properties of solutions to a class of p-Laplace equation with variable sources. Constructing suitable auxiliary functions and making use of the first order differential inequality technique, the authors obtained a lower bound for the blowup time of solutions to such equations under Dirichlet boundary conditions.

Key words: variable source, p-Laplace equation, lower bound for the blowup time

中图分类号:

O175.8

孟繁慧, 高文杰. 一类具变指数源的p-Laplace方程解的爆破时间下界[J]. 吉林大学学报(理学版), 2014, 52(03): 435-438.

MENG Fanhui, GAO Wenjie. Lower Bounds for the Blowup Time of Solutions toa Class of p-Laplace Equation with Variable Sources[J]. Journal of Jilin University Science Edition, 2014, 52(03): 435-438.