Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent
文献类型：期刊论文
| 作者 | Yu, Yuanyang2,3; Zhao, Fukun2; Zhao, Leiga1 |
| 刊名 | APPLICABLE ANALYSIS
 |
| 出版日期 | 2020-10-02 |
| 卷号 | 99期号:13页码:2229-2257 |
| 关键词 | Fractional Schrodinger-Poisson system sign-changing solutions variational methods |
| ISSN号 | 0003-6811 |
| DOI | 10.1080/00036811.2018.1557325 |
| 英文摘要 | In this paper, we study the following fractional Schrodinger-Poisson system (-Delta)(s)u+u+K(x)phi u = h(x)|u|(p-2)u+|u|(2s*-2)u,in R-3, (-Delta)(t)phi=K(x)u(2),in R3, where s is an element of(3/4,1),t is an element of(0,1)are two fixed constants, 2(s)*:=6/(3-2s)is the fractional critical exponent in dimension 3. Under some certain assumptions on non-negative functions K(x) and h(x), we obtain the existence of a positive and a sign-changing least energy solution for (FSP)via variational methods. Moreover, we show that the energy of the sign-changing least solution is strictly larger than twice of the least energy. |
| 资助项目 | National Natural Science Foundation of China (NSFC)[11771385] ; National Natural Science Foundation of China (NSFC)[11671026] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000565397200003 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52102]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zhao, Fukun |
| 作者单位 | 1.Beijing Univ Chem Technol, Dept Math, Beijing, Peoples R China 2.Yunnan Normal Univ, Dept Math, Kunming, Yunnan, Peoples R China 3.Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yu, Yuanyang,Zhao, Fukun,Zhao, Leiga. Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent[J]. APPLICABLE ANALYSIS,2020,99(13):2229-2257. |
| APA | Yu, Yuanyang,Zhao, Fukun,&Zhao, Leiga.(2020).Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent.APPLICABLE ANALYSIS,99(13),2229-2257. |
| MLA | Yu, Yuanyang,et al."Positive and sign-changing least energy solutions for a fractional Schrodinger-Poisson system with critical exponent".APPLICABLE ANALYSIS 99.13(2020):2229-2257. |
入库方式： OAI收割
来源：数学与系统科学研究院
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