Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential
文献类型：期刊论文
| 作者 | Jiang YongSheng1,2; Zhou HuanSong2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2014-06-01 |
| 卷号 | 57期号:6页码:1163-1174 |
| 关键词 | elliptic equation multiple solutions Schrodinger-Poisson-Slater equation Coulomb potential |
| 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. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | HARTREE EQUATION ; MAXWELL EQUATIONS ; SYSTEM ; EXISTENCE ; PRINCIPLE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000335902700005 |
| 公开日期 | 2015-07-14 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1386]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Zhongnan Univ Econ & Law, Sch Math & Stat, Wuhan 430073, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Jiang YongSheng,Zhou HuanSong. Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential[J]. SCIENCE CHINA-MATHEMATICS,2014,57(6):1163-1174. |
| APA | Jiang YongSheng,&Zhou HuanSong.(2014).Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential.SCIENCE CHINA-MATHEMATICS,57(6),1163-1174. |
| MLA | Jiang YongSheng,et al."Multiple solutions for a Schrodinger-Poisson-Slater equation with external Coulomb potential".SCIENCE CHINA-MATHEMATICS 57.6(2014):1163-1174. |
入库方式： OAI收割
来源：武汉物理与数学研究所
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。