Publication details
Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Periodical |
| Magazine / Source | Journal of Functional Analysis |
| MU Faculty or unit | |
| Citation | |
| Web | https://doi.org/10.1016/j.jfa.2021.109092 |
| Doi | http://dx.doi.org/10.1016/j.jfa.2021.109092 |
| Keywords | Nonlinear Schrodinger equation; Inverse square potential; Hardy-Gagliardo-Nirenberg inequality; Ground state solutions |
| Description | We consider the focusing nonlinear Schrodinger equation with the critical inverse square potential. We give the first proof of the uniqueness of the ground state solution. Consequently, we obtain a sharp Hardy-Gagliardo-Nirenberg interpolation inequality. Moreover, we provide a complete characterization for the minimal mass blow-up solutions to the time dependent problem. |
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