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- W4288417966 abstract "We study the Cauchy problem for nonlinear Schrodinger equations with attractive inverse-power potentials. By using variational arguments, we first determine a sharp threshold of global well-posedness and blow-up for the equation in the mass-supercritical case. We next study the existence and non-existence of minimizers for the energy functional with prescribed mass constraint. In the mass-critical case, we also study the blow-up behavior of minimizers when the mass tends to a critical value." @default.
- W4288417966 created "2022-07-29" @default.
- W4288417966 creator A5087338257 @default.
- W4288417966 date "2019-03-11" @default.
- W4288417966 modified "2023-09-25" @default.
- W4288417966 title "On nonlinear Schrodinger equations with attractive inverse-power potentials" @default.
- W4288417966 doi "https://doi.org/10.48550/arxiv.1903.04636" @default.
- W4288417966 hasPublicationYear "2019" @default.
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