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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：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
Global structure of one-sign solutions for problem with mean curvature operator
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论文类型：期刊论文
发表时间：2018-11-01
发表刊物：NONLINEARITY
收录刊物：SCIE
卷号：31
期号：11
页面范围：5309-5328
ISSN号：0951-7715
关键字：bifurcation; mean curvature operator; one-sign solution
摘要：We establish a unilateral global bifurcation result for the following problem
{-div(del u/root 1-vertical bar del u vertical bar(2)) = lambda f(x, u) in Omega,
u = 0 on partial derivative Omega,
where Omega is a bounded domain in R-N. Based on this global bifurcation result, we also studied the global structure of one-sign solutions according to different asymptotic behaviors (sublinear/linear/superlinear/jumping) nonlinearity near zero.