Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations | |
Wang, Jun1; Yang, Wen2 | |
刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
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2018-07-15 | |
卷号 | 265期号:2页码:501-544 |
关键词 | Coupled Hartree Equations Nonlocal Interaction Variational Methods |
ISSN号 | 0022-0396 |
DOI | 10.1016/j.jde.2018.03.003 |
文献子类 | Article |
英文摘要 | We prove the existence and nonexistence of L-2(R-N)-normalized solutions of coupled Hartree equations, which arisen from the studies of the nonlinear optics and multi-component Bose-Einstein condensates. Under certain type trapping potentials, by proving some delicate energy estimates, we give a precise description on the concentration behavior of minimizer solutions of the system. Furthermore, an optimal blowing up rate for the minimizer solutions of the system is also proved. (C) 2018 Elsevier Inc. All rights reserved. |
WOS关键词 | BOSE-EINSTEIN CONDENSATION ; NONLINEAR CHOQUARD-EQUATIONS ; CLASSICAL LIMIT ; COULOMB-SYSTEMS ; SOLITARY WAVES ; EXISTENCE ; CLASSIFICATION ; PROPAGATION ; GASES ; LIGHT |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
WOS记录号 | WOS:000430281800001 |
资助机构 | NNSFC(11571140 ; NNSFC(11571140 ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; NSF of Jiangsu Province(BK20150478) ; NSF of Jiangsu Province(BK20150478) ; 11671077) ; 11671077) ; NNSFC(11571140 ; NNSFC(11571140 ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; NSF of Jiangsu Province(BK20150478) ; NSF of Jiangsu Province(BK20150478) ; 11671077) ; 11671077) ; NNSFC(11571140 ; NNSFC(11571140 ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; NSF of Jiangsu Province(BK20150478) ; NSF of Jiangsu Province(BK20150478) ; 11671077) ; 11671077) ; NNSFC(11571140 ; NNSFC(11571140 ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Fellowship of Outstanding Young Scholars of Jiangsu Province(BK20160063) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; Six big talent peaks project in Jiangsu Province(XYDXX-015) ; NSF of Jiangsu Province(BK20150478) ; NSF of Jiangsu Province(BK20150478) ; 11671077) ; 11671077) |
内容类型 | 期刊论文 |
源URL | [http://ir.wipm.ac.cn/handle/112942/12910] ![]() |
专题 | 中国科学院武汉物理与数学研究所 |
通讯作者 | Yang, Wen |
作者单位 | 1.Jiangsu Univ, Fac Sci, Zhenjiang 212013, Jiangsu, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, POB 71010, Wuhan 430071, Hubei, Peoples R China |
推荐引用方式 GB/T 7714 | Wang, Jun,Yang, Wen. Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2018,265(2):501-544. |
APA | Wang, Jun,&Yang, Wen.(2018).Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations.JOURNAL OF DIFFERENTIAL EQUATIONS,265(2),501-544. |
MLA | Wang, Jun,et al."Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations".JOURNAL OF DIFFERENTIAL EQUATIONS 265.2(2018):501-544. |
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