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.

引用

页码：571 / 580

页数：10

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