A New Result on Multiplicity of Nontrivial Solutions for the Nonhomogenous Schrodinger-Kirchhoff Type Problem in RN

被引：12

作者：

Cheng, Bitao ^{[1
]}

机构：

[1] Qujing Normal Univ, Dept Math & Informat Sci, Qujing 655011, Yunnan, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Nonhomogenous Schrodinger-Kirchhoff type problem; Ekeland's variational principle; mountain Pass Theorem; POSITIVE SOLUTIONS; ELLIPTIC PROBLEMS; EXISTENCE; EQUATIONS; R(N);

D O I：

10.1007/s00009-015-0527-1

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 nonhomogenous Schrodinger-Kirchhoff type problem 0.1 where constants a > 0, b a parts per thousand yen 0, N = 1, 2 or 3, , and . Under more relaxed assumptions on the nonlinear term f that are much weaker than those in Chen and Li (Nonlinear Anal RWA 14:1477-1486, 2013), using some new proof techniques especially the verification of the boundedness of Palais-Smale sequence, a new result on multiplicity of nontrivial solutions for the problem (1.1) is obtained, which sharply improves the known result of Theorem 1.1 in Chen and Li (Nonlinear Anal RWA 14:1477-1486, 2013).

引用

页码：1099 / 1116

页数：18

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