Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint
文献类型：期刊论文
| 作者 | Dong, Xiaojing1,2; Mao, Anmin3 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2021-11-11 |
| 页码 | 28 |
| 关键词 | quasilinear problem nonlocal term sign-changing solutions genus theory |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-020-1885-6 |
| 英文摘要 | In this paper, we consider a class of quasilinear Schrodinger-Poisson problems of the form {-(a +b integral(RN) vertical bar del vertical bar(2) dx)Delta u + V(x)u + phi u - 1/2u Delta(u(2)) - lambda vertical bar u vertical bar(p-2) u = 0 in R-N, -Delta phi = u(2), u(x) -> 0, vertical bar x vertical bar -> infinity in RN, integral(RN)vertical bar u vertical bar(p)dx = 1, where a > 0, b >= 0, N >= 3, lambda appears as a Lagrangian multiplier, and 4 < p < 2 . 2* = 4N/N-2. We deal with two different cases simultaneously, namely lim(vertical bar x vertical bar ->infinity) V (x) = infinity and lim(vertical bar x vertical bar ->infinity) V (x) = V-infinity. By using the method of invariant sets of the descending flow combined with the genus theory, we prove the existence of infinitely many sign-changing solutions. Our results extend and improve some recent work. |
| 资助项目 | Shandong Natural Science Foundation of China[ZR2020MA005] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000719278400001 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59604]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Mao, Anmin |
| 作者单位 | 1.Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China 2.Acad Math & Syst Sci, Chinese Acad Sci, Beijing 100190, Peoples R China 3.Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Dong, Xiaojing,Mao, Anmin. Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint[J]. SCIENCE CHINA-MATHEMATICS,2021:28. |
| APA | Dong, Xiaojing,&Mao, Anmin.(2021).Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint.SCIENCE CHINA-MATHEMATICS,28. |
| MLA | Dong, Xiaojing,et al."Quasilinear Schrodinger-Poisson equations involving a nonlocal term and an integral constraint".SCIENCE CHINA-MATHEMATICS (2021):28. |
入库方式： OAI收割
来源：数学与系统科学研究院
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