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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
扫描关注
Nonexistence of positive solutions to a semilinear elliptic system and blow-up estimates for a reaction-diffusion system
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论文类型：期刊论文
发表时间：1999-04-15
发表刊物：JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
收录刊物：Scopus、SCIE
卷号：232
期号：2
页面范围：293-311
ISSN号：0022-247X
摘要：We get simple conditions under which the elliptic system -Delta u = u(p1)v(q1), -Delta v = u(p2)v(q2) in R-n, n greater than or equal to 3 with p(i) + q(i) > 1, i = 1, 2 has no positive radially symmetric solutions. Then by using this nonexistence result, we establish blow-up estimates for reaction-diffusion system of Fujita type u(t), = Delta u + u(p1)v(q1), v(t) = Delta v + u(p2)v(q2) with the homogeneous Dirichlet boundary value condition. (C) 1999 Academic Press.