Normalized solutions for nonlinear Schrodinger systems on bounded domains
Résumé
We analyze L-2-normalized solutions of nonlinear Schrodinger systems of Gross-Pitaevskii type, on bounded domains, with homogeneous Dirichlet boundary conditions. We provide sufficient conditions for the existence of orbitally stable standing waves. Such waves correspond to global minimizers of the associated energy in the L-2-subcritical and critical cases, and to local ones in the L-2-supercritical case. Notably, our study also includes the Sobolev-critical case.