Positive solutions for asymptotically linear Schrodinger-Kirchhoff-type equations

被引：23
|
作者：
Liu, Zhisu [1 ]
Guo, Shangjiang [1 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 04期
基金：
国家教育部博士点专项基金资助; 中国国家自然科学基金;
关键词：
Schrodinger-Kirchhoff-type equations; asymptotically linear; variational methods; compactness; NONTRIVIAL SOLUTIONS; ELLIPTIC PROBLEMS; R-N; EXISTENCE; MULTIPLICITY; NONLINEARITIES;
D O I：
10.1002/mma.2815
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we focus on the Schrodinger-Kirchhoff-type equation -(a + b integral(R3) vertical bar del u vertical bar(2)dx )Delta u + V(x)u = f(x,u), in R-3 where a,b > 0 are constants, V : R-3 -> R may not be radially symmetric, and f(x,u) is asymptotically linear with respect to u at infinity. Under some technical assumptions on V and f, we prove that the problem (SK) has a positive solution. Copyright (c) 2013 John Wiley & Sons, Ltd.
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页码：571 / 580
页数：10
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