Articoli correlati a Solutions of Nonlinear Schrӧdinger Systems
- EditoreSpringer
- Data di pubblicazione2016
- ISBN 10 3662515423
- ISBN 13 9783662515426
- RilegaturaCopertina flessibile
- Numero di pagine192
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Solutions of Nonlinear Schr¿dinger Systems
Editore:
Springer Berlin Heidelberg Aug 2016
(2016)
ISBN 10: 3662515423
ISBN 13: 9783662515426
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Descrizione libro Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrödinger 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 Schrödinger equations with critical exponent, an optimal result on the existence and nonexistence of ground state solutions for different coupling constants was also obtained in this thesis. These results have many applications in Physics and PDEs. 192 pp. Englisch. Codice articolo 9783662515426
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Solutions of Nonlinear Schr¿dinger Systems
Editore:
Springer Berlin Heidelberg
(2016)
ISBN 10: 3662515423
ISBN 13: 9783662515426
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Taschenbuch
Quantità: 1
Da:
Valutazione libreria
Descrizione libro Taschenbuch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrödinger 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 Schrödinger equations with critical exponent, an optimal result on the existence and nonexistence of ground state solutions for different coupling constants was also obtained in this thesis. These results have many applications in Physics and PDEs. Codice articolo 9783662515426
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Solutions of Nonlinear Schroedinger Systems
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Springer Berlin Heidelberg
(2016)
ISBN 10: 3662515423
ISBN 13: 9783662515426
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Descrizione libro Condizione: New. Codice articolo 385771847
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Solutions of Nonlinear Schrödinger Systems
Editore:
Springer Verlag
(2016)
ISBN 10: 3662515423
ISBN 13: 9783662515426
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Descrizione libro Paperback. Condizione: Brand New. reprint edition. 192 pages. 9.25x6.10x0.41 inches. In Stock. Codice articolo zk3662515423
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