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广义Schrdinger-Poisson系统正解的存在性(英文)

Existence of Positive Solutions for Generalized Schrodinger-Poisson System
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摘要 本文研究一类广义的Schrdinger-Poisson系统:{-Δu+Vu+qФg(u)=f(x,u),x∈R3,-ΔФ=2qG(u),x∈R3,这里V,q>0为常数.利用截断函数法和Pohozaev等式,文章得到该系统正解的存在性,推广了已有文献的结果. This paper deals with the following generalized Schr6dinger-Poisson system.{-△u＋Vu＋qφg（u）=f（x,u）,in R^3 -△φ=2qG（u）,in R^3where V,q ~ 0 are constants. By combining a cut-off function with a Pohozaev type identity,the ex- istence of positive solutions for this problem is proved. Some recent results by different authors are extended.
作者 许丽萍 刘洪亮 陈海波
机构地区 河南科技大学数学与统计学院 中南大学数学与统计学院
出处 《应用数学》 CSCD 北大核心 2015年第2期265-274,共10页 Mathematica Applicata
基金 Supported by the Natural Science Foundation of China(11271372) the Hunan Provincial Natural Science Foundation of China(12JJ2004)
关键词 广义Schrodinger-Poisson系统 变分方法 截断函数法 Pohozaev等式 Generalized Schrodinger-Poisson system Variational approach Cut-off function Pohozaev type identity
分类号 O175.12 [理学—基础数学]
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参考文献18

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应用数学
2015年 第2期

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