A new result on high energy solutions for Schrodinger-Kirchhoff type equations in RN

被引：37

作者：

Li, Quanqing ^{[1
]}

Wu, Xian ^{[2
]}

机构：

[1] Yunnan Univ, Dept Math & Stat, Kunming 650091, Yunnan, Peoples R China

[2] Yunnan Normal Univ, Dept Math, Kunming 650092, Yunnan, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2014年 / 30卷

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Kirchhoff type equation; High energy solution; Symmetric mountain pass theorem; POSITIVE SOLUTIONS; NONTRIVIAL SOLUTIONS; EXISTENCE;

D O I：

10.1016/j.aml.2013.12.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the following Schrodinger-Kirchhoff-type equation - (a + b integral(N)(R) vertical bar del u vertical bar(2)dx) Delta u + V(x)u = g(x, u), x is an element of R-N. By some special techniques, we obtain a new theorem, which improves and unites Theorems 1-4 in Wu (2011). (C) 2013 Elsevier Ltd. All rights reserved.

引用

页码：24 / 27

页数：4