Infinitely many large energy solutions for Schrodinger-Kirchhoff type problem in RN

被引：8

作者：

Cheng, Bitao ^{[1
,2
]}

Tang, Xianhua ^{[2
]}

机构：

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

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

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Kirchhoff type problem; critical point; symmetric Mountain Pass Theorem; variational methods; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; MULTIPLE SOLUTIONS; EXISTENCE; EQUATIONS;

D O I：

10.22436/jnsa.009.02.28

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 problem { -(a + b integral(RN) vertical bar del u vertical bar(2)dx) Delta u + V(x)u = g(x, u), for x is an element of R-N, u(x) -> 0, as vertical bar x vertical bar -> infinity, where constants a > 0, b >= 0, N = 1,2 or 3, V E C(R-N,R), g is an element of C(R-N x R, R). Under more relaxed assumptions on g(x, u), by using some special techniques, a new existence result of infinitely many energy solutions is obtained via Symmetric Mountain Pass Theorem. (C) 2016 All rights reserved.

引用

页码：652 / 660

页数：9

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