中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
multiplesolutionsforaschrodingerpoissonslaterequationwithexternalcoulombpotential

文献类型:期刊论文

作者Jiang Yongsheng2; Zhou Huansong1
刊名sciencechinamathematics
出版日期2014
卷号57期号:6页码:1163
ISSN号1674-7283
英文摘要Consider the following Schrodinger-Poisson-Slater system, where omega > 0, lambda > 0 and beta > 0 are real numbers, p a (1, 2). For beta = 0, it is known that problem (P) has no nontrivial solution if lambda > 0 suitably large. When beta > 0, -beta/|x| is an important potential in physics, which is called external Coulomb potential. In this paper, we find that (P) with beta > 0 has totally different properties from that of beta = 0. For beta > 0, we prove that (P) has a ground state and multiple solutions if lambda > c (p,omega) , where c (p,omega) > 0 is a constant which can be expressed explicitly via omega and p.
资助项目[National Natural Science Foundation of China] ; [Fundamental Research Funds for the Central Universities] ; [Hubei Key Laboratory of Mathematical Sciences]
语种英语
源URL[http://ir.wipm.ac.cn/handle/112942/15200]  
专题中国科学院武汉物理与数学研究所
作者单位1.中国科学院武汉物理与数学研究所
2.中南财经政法大学
推荐引用方式
GB/T 7714
Jiang Yongsheng,Zhou Huansong. multiplesolutionsforaschrodingerpoissonslaterequationwithexternalcoulombpotential[J]. sciencechinamathematics,2014,57(6):1163.
APA Jiang Yongsheng,&Zhou Huansong.(2014).multiplesolutionsforaschrodingerpoissonslaterequationwithexternalcoulombpotential.sciencechinamathematics,57(6),1163.
MLA Jiang Yongsheng,et al."multiplesolutionsforaschrodingerpoissonslaterequationwithexternalcoulombpotential".sciencechinamathematics 57.6(2014):1163.

入库方式: OAI收割

来源:武汉物理与数学研究所

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