Solutions of Nonlinear Schrӧdinger Systems

• Main Author: Chen, Zhijie (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2015.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: 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...

Table of Contents:

• 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.