Non-extinction of solutions to a fast diffusive p-Laplace equation with Neumann boundary conditions

被引：34

作者：

Guo, Bin ^{[1
]}

Gao, Wenjie ^{[1
]}

机构：

[1] Jilin Univ, Sch Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 422卷 / 02期

关键词：

p-Laplace equation; Non-extinction; Changing sign solution;

D O I：

10.1016/j.jmaa.2014.09.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, the authors establish a non-extinction result for the changing sign solution with negative initial energy by discussing a suitable differential inequality. The result gives an answer to the problem unsolved in Qu, Bai, Zheng (2014) [1]. Two examples are given in the paper to show the existence of the initial datum with negative initial energy. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：1527 / 1531

页数：5