|
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：西北师范大学
学位：博士
所在单位：数学科学学院
学科：应用数学. 基础数学
办公地点：B1409
联系方式：大连理工大学创新园大厦
电子邮箱：daiguowei@dlut.edu.cn
扫描关注
Two Whyburn type topological theorems and its applications to Monge-Ampere equations
点击次数：
论文类型：期刊论文
发表时间：2016-08-01
发表刊物：CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
收录刊物：SCIE、Scopus
卷号：55
期号：4
ISSN号：0944-2669
摘要：In this paper we correct a gap of Whyburn type topological lemma and establish two superior limit theorems. As the applications of our Whyhurn type topological theorems, we study the following Monge-Ampere equation
{det(u=0)(D(2)u) = lambda(N)a(x) f (-u) in Omega, on partial derivative Omega.
We establish global bifurcation results for the problem. We find intervals of lambda for the existence, multiplicity and nonexistence of strictly convex solutions for this problem.