Compactness of minimizing sequences in nonlinear Schrödinger systems under multiconstraint conditions

Norihisa Ikoma

doi:10.1515/ans-2014-0104

Compactness of minimizing sequences in nonlinear Schrödinger systems under multiconstraint conditions

Norihisa Ikoma

Research output: Contribution to journal › Article › peer-review

50 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	115-136
Number of pages	22
Journal	Advanced Nonlinear Studies
Volume	14
Issue number	1
DOIs	https://doi.org/10.1515/ans-2014-0104
Publication status	Published - 2014
Externally published	Yes

Keywords

Concentration compactness lemma
Coupled nonlinear Schrödinger system
Minimizing problem
Multiconstraint conditions

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematics(all)

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abstract = "In this paper, the precompactness of minimizing sequences under multiconstraint conditions are discussed. This minimizing problem is related to a coupled nonlinear Schr{\"o}dinger 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 = "Concentration compactness lemma, Coupled nonlinear Schr{\"o}dinger system, Minimizing problem, Multiconstraint conditions",

author = "Norihisa Ikoma",

year = "2014",

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AB - 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.

KW - Concentration compactness lemma

KW - Coupled nonlinear Schrödinger system

KW - Minimizing problem

KW - Multiconstraint conditions

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JF - Advanced Nonlinear Studies

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ER -

Compactness of minimizing sequences in nonlinear Schrödinger systems under multiconstraint conditions

Abstract

Keywords

ASJC Scopus subject areas

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