INFINITELY MANY SIGN-CHANGING SOLUTIONS FOR AN ASYMPTOTICALLY LINEAR AND NONLOCAL SCHRO<spacing diaeresis>DINGER EQUATION

被引：0

作者：

Qiu, Ruowen ^{[1
]}

You, Renqing ^{[1
]}

Zhao, Fukun ^{[1
]}

机构：

[1] Yunnan Normal Univ, Dept Math, Kunming 650221, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2025年 / 2025卷

关键词：

Sign-changing solution; integro-differential operator; invariant set; variational method; CONCENTRATION-COMPACTNESS PRINCIPLE; NODAL SOLUTIONS; SCHRODINGER-EQUATIONS; MULTIPLE SOLUTIONS; CALCULUS; GUIDE;

D O I：

10.58997/ejde.2025.07

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the nonlo cal schro<spacing diaeresis>dinger equation -LKu + V ( x ) u = f ( x, u), x is an element of R N , where -LK is an integro-differential operator and V is coercive at infinity, and f (x, u ) is asymptotically linear for u at infinity. Combining minimax method and invariant set of descending flow, we prove that the problem possesses infinitely many sign-changing solutions.

引用

页码：1 / 19

页数：19

共 39 条

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