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Advanced Nonlinear Studies

Editor-in-Chief: Ahmad, Shair

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Volume 14, Issue 1


Compactness of Minimizing Sequences in Nonlinear Schrödinger Systems Under Multiconstraint Conditions

Norihisa Ikoma
Published Online: 2016-03-10 | DOI: https://doi.org/10.1515/ans-2014-0104


In this paper, the precompactness of minimizing sequences under multiconstraint conditions are discussed. This minimizing problem is related to a coupled nonlinear Schrödinger system which appears in the field of nonlinear optics. As a consequence of the compactness of each minimizing sequence, the orbital stability of the set of all minimizers is obtained.

Keywords: coupled nonlinear Schrödinger system; minimizing problem; multiconstraint conditions; concentration compactness lemma

About the article

Received: 2013-01-14

Published Online: 2016-03-10

Published in Print: 2014-02-01

Citation Information: Advanced Nonlinear Studies, Volume 14, Issue 1, Pages 115–136, ISSN (Online) 2169-0375, ISSN (Print) 1536-1365, DOI: https://doi.org/10.1515/ans-2014-0104.

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© 2016 by Advanced Nonlinear Studies, Inc..

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