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This thesis explores the existence and properties of nontrivial solutions in nonlinear Schrödinger systems, particularly focusing on systems relevant to nonlinear optics and Bose-Einstein condensates (BEC). It investigates ground state solutions in both subcritical and critical cases, addressing key open questions and presenting novel findings on uniqueness and phase separation. Additionally, it examines the Brezis-Nirenberg critical exponent problem and provides optimal results for linearly coupled Schrödinger equations, highlighting their significance in physics and partial differential equations.
Buchkauf
Solutions of Nonlinear Schrdinger Systems, Zhijie Chen
- Sprache
- Erscheinungsdatum
- 2016
- product-detail.submit-box.info.binding
- (Paperback)
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- Titel
- Solutions of Nonlinear Schrdinger Systems
- Sprache
- Englisch
- Autor*innen
- Zhijie Chen
- Erscheinungsdatum
- 2016
- Einband
- Paperback
- Seitenzahl
- 192
- ISBN13
- 9783662515426
- Kategorie
- Mathematik, Naturwissenschaften
- Beschreibung
- This thesis explores the existence and properties of nontrivial solutions in nonlinear Schrödinger systems, particularly focusing on systems relevant to nonlinear optics and Bose-Einstein condensates (BEC). It investigates ground state solutions in both subcritical and critical cases, addressing key open questions and presenting novel findings on uniqueness and phase separation. Additionally, it examines the Brezis-Nirenberg critical exponent problem and provides optimal results for linearly coupled Schrödinger equations, highlighting their significance in physics and partial differential equations.