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个人信息Personal Information
教授
博士生导师
硕士生导师
性别：男
毕业院校：吉林大学
学位：博士
所在单位：数学科学学院
学科：基础数学
办公地点：创新园大厦 A1032
电子邮箱：snzheng@dlut.edu.cn
Blow-up versus extinction in a nonlocal p-Laplace equation with Neumann boundary conditions
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论文类型：期刊论文
发表时间：2014-04-01
发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
收录刊物：SCIE、Scopus
卷号：412
期号：1
页面范围：326-333
ISSN号：0022-247X
关键字：p-Laplace equation; Changing sign solution; Global existence; Blow-up; Extinction
摘要：This paper studies a fast diffusive p-Laplace equation with the nonlocal source vertical bar u vertical bar(q) - f Omega vertical bar u vertical bar(q) dx in a bounded domain, subject to homogeneous Neumann boundary value condition. A critical criterion is determined that the changing sign solutions blow up in finite time with q > 1 and non-positive initial energy associated, and must be global for any initial energy if q <= 1. In particular, the conditions are obtained under which the changing sign solutions vanish in finite time. (C) 2013 Elsevier Inc. All rights reserved.