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.
- Concentration compactness lemma
- Coupled nonlinear Schrödinger system
- Minimizing problem
- Multiconstraint conditions
ASJC Scopus subject areas
- Statistical and Nonlinear Physics