![Chen, Zhijie. Solutions of Nonlinear Schr¿dinger Systems. Springer Berlin Heidelberg, 2014.](https://eichendorff21.de/cdata/oV2cLfIKZEl9QUOuRD2__sUqPb0=/300x0/9783662454770.png)
Zhijie Chen
Solutions of Nonlinear Schr¿dinger Systems
- Springer Berlin Heidelberg
- 2014
- Gebunden
- 192 Seiten
- ISBN 9783662454770
The existence and qualitative properties of nontrivial solutions for some important nonlinear Schr¿dinger 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
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