EXISTENCE AND MULTIPLICITY OF SOLUTIONS FOR NONLINEAR SCHRoDINGER-KIRCHHOFF-TYPE EQUATIONS

被引：2

作者：

Chen, Haibo ^{[1
]}

Liu, Hongliang ^{[1
]}

Xu, Liping ^{[1
,2
]}

机构：

[1] Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

[2] Henan Univ Sci & Technol, Dept Math & Stat, Luoyang 471003, Peoples R China

来源：

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY | 2016年 / 53卷 / 01期

关键词：

GROUND-STATE SOLUTIONS; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS;

D O I：

10.4134/JKMS.2016.53.1.201

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the following Schrodinger-Kirchhoff-type equations [a + b (integral N-R (broken vertical bar del u broken vertical bar(2) + V (x)broken vertical bar u broken vertical bar(2))dx)] [-Delta u + V(x)u] = f(x, u), in R-N. Under certain assumptions on V and f, some new criteria on the existence and multiplicity of nontrivial solutions are established by the Morse theory with local linking and the genus properties in critical point theory. Some results from the previously literature are significantly extended and complemented.

引用

页码：201 / 215

页数：15

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