Infinitely many dichotomous solutions for the Schrödinger-Poisson system

被引：0

作者：

He, Yuke ^{[1
,2
]}

Li, Benniao ^{[1
,2
]}

Long, Wei ^{[1
,2
]}

机构：

[1] Jiangxi Normal Univ, Sch Math & Stat, Nanchang 330022, Peoples R China

[2] Jiangxi Normal Univ, Jiangxi Prov Ctr Appl Math, Nanchang 330022, Peoples R China

来源：

SCIENCE CHINA-MATHEMATICS | 2024年 / 67卷 / 09期

基金：

中国国家自然科学基金;

关键词：

dichotomous solutions; non-degeneracy; Schr & ouml; dinger-Poisson system; SCHRODINGER-POISSON PROBLEM; SIGN-CHANGING SOLUTIONS; POSITIVE SOLUTIONS; BOUND-STATES; SPHERES; EQUATION;

D O I：

10.1007/s11425-023-2173-y

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 Schr & ouml;dinger-Poisson system where epsilon is a small parameter, , N is an element of [3, 6], and V(x) and K(x) are potential functions with different decay at infinity. We first prove the non-degeneracy of a radial low-energy solution. Moreover, by using the non-degenerate solution, we construct a new type of infinitely many solutions for the above system, which are called "dichotomous solutions", i.e., these solutions concentrate both in a bounded domain and near infinity.

引用

页码：2049 / 2070

页数：22

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