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.
Keywords: coupled nonlinear Schrödinger system; minimizing problem; multiconstraint conditions; concentration compactness lemma
Received: 2013-01-14
Published Online: 2016-03-10
Published in Print: 2014-02-01
© 2016 by Advanced Nonlinear Studies, Inc.
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