A perturbation of nonlinear scalar field equations

被引：7
|
作者：
Liu, Jiu [1 ]
Liu, Tao [1 ]
Liao, Jia-Feng [2 ]
机构：
[1] Qiannan Normal Univ Nationalities, Sch Math & Stat, Duyun 558000, Guizhou, Peoples R China
[2] China West Normal Univ, Sch Math & Informat, Nanchong 637002, Sichuan, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 45卷
关键词：
Schrodinger equations; Variational methods; Ground state solution; R-N; SCHRODINGER-EQUATIONS; POSITIVE SOLUTION; EXISTENCE;
D O I：
10.1016/j.nonrwa.2018.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we consider the following Schrodinger equations - Delta u + V(x)u = g(u), x is an element of R-N, N >= 3, where g satisfies Berestycki-Lions conditions and V is a small perturbation. The assumptions on V are different from the ones in Azzollini and Pomponio (2009). By using the variational methods, we show the equation has a positive ground state solution. (C) 2018 Elsevier Ltd. All rights reserved.
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页码：531 / 541
页数：11
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