Ground State Solutions of Critical Nonlinear Systems

Language: English

Published by LAP Lambert Academic Publishing Mär 2018, 2018

3659400912 / 9783659400919

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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.…

Seller Inventory # 9783659400919

Title
Ground State Solutions of Critical Nonlinear Systems
Author
Zhenyu Guo
Publisher
LAP Lambert Academic Publishing Mär 2018
Publication year
2018
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3659400912
ISBN 13
9783659400919
Item weight
233 grams
Dimensions
220x150x10 mm

buchversandmimpf2000

Emtmannsberg, BAYE, Germany

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