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Inhaltsangabe
Since the prediction of Bose-Einstein Condensation (abbreviated as BEC) had been validated in experiments 20 years ago, the problems related to BEC have attracted much more attentions. This book considers 3 kinds of critical nonlinear Schrödinger systems (abbreviated as NLSS), that is, usual NLSS, NLSS with magnetic fields and fractional NLSS. There is no compactness as the nonlinear terms in the three NLSS are critical. We mainly rescale and cut off the extremal functions of the corresponding limiting problems, by invariance of rescaling with respect to "gradient-norm" and "critical-norm" and a series of energy estimations to overcome the lack of compactness. Applying variational principle, methord of Nehari manifold, mountain-pass theorem, concentration-compactness principle and maximum principle et al, under proper conditions, the existence results of ground state solutions to the above three NLSS are established.
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Since the prediction of Bose-Einstein Condensation (abbreviated as BEC) had been validated in experiments 20 years ago, the problems related to BEC have attracted much more attentions. This book considers 3 kinds of critical nonlinear Schrödinger systems (abbreviated as NLSS), that is, usual NLSS, NLSS with magnetic fields and fractional NLSS. There is no compactness as the nonlinear terms in the three NLSS are critical. We mainly rescale and cut off the extremal functions of the corresponding limiting problems, by invariance of rescaling with respect to "gradient-norm" and "critical-norm" and a series of energy estimations to overcome the lack of compactness. Applying variational principle, methord of Nehari manifold, mountain-pass theorem, concentration-compactness principle and maximum principle et al, under proper conditions, the existence results of ground state solutions to the above three NLSS are established.
Biografía del autor
Zhenyu Guo, male, born in 1982, studied his PhD courses in Thinghua University from September 2013 to June 2016, majoring in Pure Mathematics, and got his Doctor's Degree in June 2016. Now he is a full-time teacher in Liaoning Normal University.
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Ground State Solutions of Critical Nonlinear Systems
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LAP LAMBERT Academic Publishing, 2018
ISBN 10: 3659400912
ISBN 13: 9783659400919
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Zustand: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Guo ZhenyuZhenyu Guo, male, born in 1982, studied his PhD courses in Thinghua University from September 2013 to June 2016, majoring in Pure Mathematics, and got his Doctor s Degree in June 2016. Now he is a full-time teacher in Liaon. Bestandsnummer des Verkäufers 385766577
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Ground State Solutions of Critical Nonlinear Systems
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ISBN 10: 3659400912
ISBN 13: 9783659400919
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Taschenbuch. Zustand: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Since the prediction of Bose-Einstein Condensation (abbreviated as BEC) had been validated in experiments 20 years ago, the problems related to BEC have attracted much more attentions. This book considers 3 kinds of critical nonlinear Schrödinger systems (abbreviated as NLSS), that is, usual NLSS, NLSS with magnetic fields and fractional NLSS. There is no compactness as the nonlinear terms in the three NLSS are critical. We mainly rescale and cut off the extremal functions of the corresponding limiting problems, by invariance of rescaling with respect to 'gradient-norm' and 'critical-norm' and a series of energy estimations to overcome the lack of compactness. Applying variational principle, methord of Nehari manifold, mountain-pass theorem, concentration-compactness principle and maximum principle et al, under proper conditions, the existence results of ground state solutions to the above three NLSS are established.Books on Demand GmbH, Überseering 33, 22297 Hamburg 144 pp. Englisch. Bestandsnummer des Verkäufers 9783659400919
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Ground State Solutions of Critical Nonlinear Systems
Verlag:
LAP Lambert Academic Publishing Mär 2018, 2018
ISBN 10: 3659400912
ISBN 13: 9783659400919
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Since the prediction of Bose-Einstein Condensation (abbreviated as BEC) had been validated in experiments 20 years ago, the problems related to BEC have attracted much more attentions. This book considers 3 kinds of critical nonlinear Schrödinger systems (abbreviated as NLSS), that is, usual NLSS, NLSS with magnetic fields and fractional NLSS. There is no compactness as the nonlinear terms in the three NLSS are critical. We mainly rescale and cut off the extremal functions of the corresponding limiting problems, by invariance of rescaling with respect to 'gradient-norm' and 'critical-norm' and a series of energy estimations to overcome the lack of compactness. Applying variational principle, methord of Nehari manifold, mountain-pass theorem, concentration-compactness principle and maximum principle et al, under proper conditions, the existence results of ground state solutions to the above three NLSS are established. 144 pp. Englisch. Bestandsnummer des Verkäufers 9783659400919
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Ground State Solutions of Critical Nonlinear Systems
Verlag:
LAP Lambert Academic Publishing Mär 2018, 2018
ISBN 10: 3659400912
ISBN 13: 9783659400919
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Taschenbuch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Since the prediction of Bose-Einstein Condensation (abbreviated as BEC) had been validated in experiments 20 years ago, the problems related to BEC have attracted much more attentions. This book considers 3 kinds of critical nonlinear Schrödinger systems (abbreviated as NLSS), that is, usual NLSS, NLSS with magnetic fields and fractional NLSS. There is no compactness as the nonlinear terms in the three NLSS are critical. We mainly rescale and cut off the extremal functions of the corresponding limiting problems, by invariance of rescaling with respect to 'gradient-norm' and 'critical-norm' and a series of energy estimations to overcome the lack of compactness. Applying variational principle, methord of Nehari manifold, mountain-pass theorem, concentration-compactness principle and maximum principle et al, under proper conditions, the existence results of ground state solutions to the above three NLSS are established. 144 pp. Englisch. Bestandsnummer des Verkäufers 9783659400919
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Ground State Solutions of Critical Nonlinear Systems
Verlag:
LAP Lambert Academic Publishing, 2018
ISBN 10: 3659400912
ISBN 13: 9783659400919
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Taschenbuch. Zustand: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - Since the prediction of Bose-Einstein Condensation (abbreviated as BEC) had been validated in experiments 20 years ago, the problems related to BEC have attracted much more attentions. This book considers 3 kinds of critical nonlinear Schrödinger systems (abbreviated as NLSS), that is, usual NLSS, NLSS with magnetic fields and fractional NLSS. There is no compactness as the nonlinear terms in the three NLSS are critical. We mainly rescale and cut off the extremal functions of the corresponding limiting problems, by invariance of rescaling with respect to 'gradient-norm' and 'critical-norm' and a series of energy estimations to overcome the lack of compactness. Applying variational principle, methord of Nehari manifold, mountain-pass theorem, concentration-compactness principle and maximum principle et al, under proper conditions, the existence results of ground state solutions to the above three NLSS are established. Bestandsnummer des Verkäufers 9783659400919
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Ground State Solutions of Critical Nonlinear Systems
Verlag:
LAP Lambert Academic Publishing Mär 2018, 2018
ISBN 10: 3659400912
ISBN 13: 9783659400919
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Taschenbuch. Zustand: Neu. Neuware -Since the prediction of Bose-Einstein Condensation (abbreviated as BEC) had been validated in experiments 20 years ago, the problems related to BEC have attracted much more attentions. This book considers 3 kinds of critical nonlinear Schrödinger systems (abbreviated as NLSS), that is, usual NLSS, NLSS with magnetic fields and fractional NLSS. There is no compactness as the nonlinear terms in the three NLSS are critical. We mainly rescale and cut off the extremal functions of the corresponding limiting problems, by invariance of rescaling with respect to 'gradient-norm' and 'critical-norm' and a series of energy estimations to overcome the lack of compactness. Applying variational principle, methord of Nehari manifold, mountain-pass theorem, concentration-compactness principle and maximum principle et al, under proper conditions, the existence results of ground state solutions to the above three NLSS are established. Bestandsnummer des Verkäufers 9783659400919
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