| 书目名称 | Solutions of Nonlinear Schrӧdinger Systems | | 编辑 | Zhijie Chen | | 视频video | | | 概述 | Presents the first substantial progress in the study of optimal parameter ranges for the existence of ground state solutions to the well-known BEC system in the subcritical case.Among the first contri | | 丛书名称 | Springer Theses | | 图书封面 |  | | 描述 | .The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrӧdinger systems have been studied in this thesis. For a well-known system arising from nonlinear optics and Bose-Einstein condensates (BEC), in the subcritical case, qualitative properties of ground state solutions, including an optimal parameter range for the existence, the uniqueness and asymptotic behaviors, have been investigated and the results could firstly partially answer open questions raised by Ambrosetti, Colorado and Sirakov. In the critical case, a systematical research on ground state solutions, including the existence, the nonexistence, the uniqueness and the phase separation phenomena of the limit profile has been presented, which seems to be the first contribution for BEC in the critical case. Furthermore, some quite different phenomena were also studied in a more general critical system. For the classical Brezis-Nirenberg critical exponent problem, the sharp energy estimate of least energy solutions in a ball has been investigated in this study. Finally, for Ambrosetti type linearly coupled Schrӧdinger equations with critical exponent, an optimal result on the existe | | 出版日期 | Book 2015 | | 关键词 | Bose-Einstein Condensates; ground state solutions; nonlinear schrodinger system; sign-changing solution | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-45478-7 | | isbn_softcover | 978-3-662-51542-6 | | isbn_ebook | 978-3-662-45478-7Series ISSN 2190-5053 Series E-ISSN 2190-5061 | | issn_series | 2190-5053 | | copyright | Springer-Verlag Berlin Heidelberg 2015 |
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发表于 2025-3-21 19:41:05
