Solutions of Nonlinear Schrӧdinger Systems

• Κύριος συγγραφέας: Chen, Zhijie (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Σειρά: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Θέματα: Mathematics.; Partial differential equations.; Mathematical physics.; Partial Differential Equations.; Mathematical Applications in the Physical Sciences.; Mathematical Physics.

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 sta...

Πίνακας περιεχομένων:

• Introduction
• A BEC system with dimensions N = 2;3: Ground state solutions
• A BEC system with dimensions N = 2;3: Sign-changing solutions
• A BEC system with dimensions N = 4: Critical case
• A generalized BEC system with critical exponents in dimensions
• A linearly coupled Schrӧdinger system with critical exponent.