Positive solutions for nonlinear Schrodinger-Kirchhoff equations in R3

被引：21

作者：

Chen, Wei ^{[1
,2
]}

Fu, Zunwei ^{[1
,3
]}

Wu, Yue ^{[1
]}

机构：

[1] Linyi Univ, Sch Math & Stat, Linyi 276100, Shandong, Peoples R China

[2] Univ Suwon, Coll Informat Technol, Hwaseong Si 18323, South Korea

[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2020年 / 104卷

基金：

中国国家自然科学基金;

关键词：

Schrodinger-Kirchhoff-type equations; Variational methods; Lagrange multiplier rule; Pohozaev equality; EXISTENCE;

D O I：

10.1016/j.aml.2020.106274

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the nonlinear Schrodinger-Kirchhoff-type equation with pure power nonlinearities in R-3 by variational methods. By carrying out the constrained minimization on a special manifold which is a combination of the Nehari manifold and Pohozaev manifold, we proved the existence of positive radial solutions of this equation for the power p is an element of (1,5). The results of this paper extend some existing conclusions, especially for p is an element of (1, 2). (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：6

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