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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
Spectrum and bifurcation for semilinear elliptic problems in R-N
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论文类型：期刊论文
发表时间：2017-11-05
发表刊物：JOURNAL OF DIFFERENTIAL EQUATIONS
收录刊物：Scopus、SCIE
卷号：263
期号：9
页面范围：5939-5967
ISSN号：0022-0396
关键字：Bifurcation; Spectrum; Nodal solutions
摘要：This paper is concerned with the following semilinear elliptic problem
{-Delta u = lambda m(x)f(u) in R-N, u -> 0 as vertical bar x vertical bar -> +infinity,
where lambda is a real parameter and m is a weight function which may be sign-changing. For the linear case, i.e., f (u) = u, we investigate the spectral structure. For the semilinear case, we study the existence and asymptotic behavior of one-sign and nodal solutions by bifurcation method. (C) 2017 Elsevier Inc. All rights reserved.