Infinitely many sign-changing solutions for the nonlinear Schrodinger-Poisson system

被引：147

作者：

Liu, Zhaoli ^{[1
]}

Wang, Zhi-Qiang ^{[2
,3
]}

Zhang, Jianjun ^{[4
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100037, Peoples R China

[2] Tianjin Univ, Ctr Appl Math, Tianjin 300072, Peoples R China

[3] Utah State Univ, Dept Math & Stat, Logan, UT 84322 USA

[4] Nankai Univ, Chern Inst Math, Tianjin 300071, Peoples R China

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2016年 / 195卷 / 03期

关键词：

NODAL SOLUTIONS; BOUND-STATES; EXISTENCE; EQUATION; WAVES;

D O I：

10.1007/s10231-015-0489-8

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 Schrodinger-Poisson system [GRAPHICS] We investigate the existence of multiple bound state solutions, in particular sign-changing solutions. By using the method of invariant sets of descending flow, we prove that this system has infinitely many sign-changing solutions. In particular, the nonlinear term includes the power-type nonlinearity f(u) = vertical bar u vertical bar(p-2)u for the well-studied case p is an element of (4, 6), and the less studied case p is an element of (3, 4), and for the latter case, few existence results are available in the literature.

引用

页码：775 / 794

页数：20

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