Sign-changing solutions for a kind of Klein-Gordon-Maxwell system

被引：4

作者：

Zhang, Qi ^{[1
]}

机构：

[1] Shanxi Univ, Sch Math Sci, Taiyuan 030006, Shanxi, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 09期

基金：

中国国家自然科学基金;

关键词：

SCHRODINGER-POISSON SYSTEM; GROUND-STATE SOLUTIONS; NODAL SOLUTIONS; SOLITARY WAVES; EQUATION; EXISTENCE;

D O I：

10.1063/5.0042116

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, the subcritical Klein-Gordon-Maxwell system -& UDelta;u + V(x)u - (2 omega + phi)phi u = f(u) coupled with & UDelta;phi=(omega+phi)u2,x & ISIN;R3 is studied. Under general assumptions on V, f, by using the abstract critical theorems, which are derived from the minimax method and the method of invariant sets of descending flow, we obtain the existence of sign-changing solutions for this system, in particular, a sequence of high energy sign-changing solutions is obtained if f is odd.

引用

页数：9

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