[1]洪明理,李林锐,黄代文.带有不定线性部分的薛定谔方程的多解存在性[J].南京师大学报(自然科学版),2021,44(03):9-13.[doi:10.3969/j.issn.1001-4616.2021.03.002]
　Hong Mingli,Li Linrui,Huang Daiwen.Multiple Solutions of a Schr?inger Equation with Indefinite Nonlinearity[J].Journal of Nanjing Normal University(Natural Science Edition),2021,44(03):9-13.[doi:10.3969/j.issn.1001-4616.2021.03.002]
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带有不定线性部分的薛定谔方程的多解存在性()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第44卷
期数:
2021年03期
页码:
9-13
栏目:
·数学·
出版日期:
2021-09-15

文章信息/Info

Title:
Multiple Solutions of a Schr?inger Equation with Indefinite Nonlinearity
文章编号:
1001-4616(2021)03-0009-05
作者:
洪明理1; 李林锐1; 黄代文2
(1.防灾科技学院,三河 065201)(2.北京应用物理与计算数学研究所,北京 100088)
Author(s):
Hong Mingli1; Li Linrui1; Huang Daiwen2
(1.Institute of Disaster Prevention,Sanhe 065201,China)(2.Institute of Applied Physics and Computational Mathematics,Beijing 100088,China)
关键词:
薛定谔方程; 不定线性部分; 径向解
Keywords:
Schr?inger equation; indefinite nonlinearity; radial solutions
分类号:
O177
DOI:
10.3969/j.issn.1001-4616.2021.03.002
文献标志码:
A
摘要:
本文研究如下薛定谔方程:-Δu=V(|x|)u+f(|x|,u),x∈RN,u∈H1(RN). 在V和f满足一定的假设下,我们得到了该方程的无穷多个径向解的存在性.
Abstract:
In this paper,we consider the following Schr?inger equation:-Δu=V(|x|)u+f(|x|,u),x∈RN,u∈H1(RN). Under some assumptions of V and f,we obtain infinitely many radial solutions of the above equation.

参考文献/References:

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[5]BADIALE M,NABANA E. A remark on multiplicity of solutions for semilinear elliptic problems with indefinite nonlinearity[J]. Comptes rendus deI’sAcadémie des sciences-series I-mathematics,1996,323(2):151-156.
[6]LI Y Q,CHEN J Q. On a semilinear elliptic equation with indefinite linear part[J]. Nonlinear analysis,2002,48:399-410.
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备注/Memo

备注/Memo:
收稿日期:2021-04-26.
基金项目:廊坊市科技支撑计划项目(2021011043)、国家自然科学基金面上项目(12071192).
通讯作者:洪明理,硕士,副教授,研究方向:非线性分析. E-mail:hongmingli001@163.com
更新日期/Last Update: 2021-09-15