Minimizers of mass critical Hartree energy functionals in bounded domains
文献类型：期刊论文
| 作者 | Guo, Yujin1; Luo, Yong1,2; Zhang, Qi1,2 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2018-11-15 |
| 卷号 | 265期号:10页码:5177-5211 |
| ISSN号 | 0022-0396 |
| 关键词 | Hartree energy functional Minimizers Boundary blow up |
| DOI | 10.1016/j.jde.2018.06.032 |
| 英文摘要 | We consider L-2-constraint minimizers of the mass critical Hartree energy functional with a trapping potential V (x) in a bounded domain Omega of R-4. We prove that minimizers exist if and only if the parameter a > 0 satisfies a < a* = parallel to Q parallel to(2)(2), where Q > 0 is the unique positive solution of -Delta u + u - (f(R4) u(2)(y)/vertical bar x-y vertical bar(2) dy)u = 0 in R-4. By investigating new analytic methods, the refined limit behavior of minimizers as a NE arrow a* is analyzed for both cases where all the mass concentrates either at an inner point x(0) of Omega or near the boundary of Omega depending on whether V (x) attains its flattest global minimum at an inner point x(0) of Omega or not. As a byproduct, we also establish two Gagliardo-Nirenberg type inequalities which are of independent interest. (C) 2018 Elsevier Inc. All rights reserved. |
| WOS关键词 | EQUATIONS ; POTENTIALS |
| 资助项目 | NSFC[11671394] ; MOST[2017YFA0304500] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| WOS记录号 | WOS:000443799100014 |
| 资助机构 | NSFC ; NSFC ; MOST ; MOST ; NSFC ; NSFC ; MOST ; MOST ; NSFC ; NSFC ; MOST ; MOST ; NSFC ; NSFC ; MOST ; MOST |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/13070]  |
| 专题 | 中国科学院武汉物理与数学研究所 |
| 通讯作者 | Guo, Yujin |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Guo, Yujin,Luo, Yong,Zhang, Qi. Minimizers of mass critical Hartree energy functionals in bounded domains[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,265(10):5177-5211. |
| APA | Guo, Yujin,Luo, Yong,&Zhang, Qi.(2018).Minimizers of mass critical Hartree energy functionals in bounded domains.JOURNAL OF DIFFERENTIAL EQUATIONS,265(10),5177-5211. |
| MLA | Guo, Yujin,et al."Minimizers of mass critical Hartree energy functionals in bounded domains".JOURNAL OF DIFFERENTIAL EQUATIONS 265.10(2018):5177-5211. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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