Critical Curves of Solutions in Nonlinear Parabolic Equations Involving p, m-Laplace Operators

被引：0
作者：
Bingchen Liu
Q. Zhang
X. Zhang
Z. Zhao
机构：
[1] China University of Petroleum,College of Science
[2] Beijing Institute of Technology,School of Information and Electronics
来源：
Bulletin of the Iranian Mathematical Society | 2018年 / 44卷
关键词：
-Laplace equation; Critical global-existence curve; Critical Fujita’s curve; Blow-up; Primary 35K65; Secondary 35K55; 35B51; 35B33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study some nonlinear parabolic equation involving p, m-Laplace operator with nonlinear source and boundary flux. First, we determine the critical curve of the existence of global solutions by constructing self-similar auxiliary functions. Second, the exponent region is proposed where every nontrivial solution blows up in finite time. In addition, blow-up phenomenon of the Fujita type is proved for the corresponding Cauchy problem of the nonlinear parabolic equation.
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页码：1427 / 1447
页数：20
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