Stable standing waves of nonlinear Schrödinger equations with a general nonlinear term

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Normalized solution to the Schrödinger equation with potential and general nonlinear term: Mass super-critical case (2021, background): “Shibata [21] the study of the mass sub-critical case for general nonlinearities.”
Nonradial normalized solutions for nonlinear scalar field equations (2018, background): “This is done either, following the strategy laid down in [9], by showing that any minimizing sequences of I on Sm is precompact up to translations [11, 27] or by using more analytic approaches [28].”
A new rearrangement inequality and its application for $$L^2$$L2-constraint minimizing problems (2013, background): “) In [9], H1-precompactness of minimizing sequences was studied under more general conditions.”