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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