First proof of uniqueness of ground state for focusing NLS with Hardy potential, implying sharp interpolation inequality and characterization of minimal-mass blow-up solutions.
Merle , Determination of blow-up solutions with minimal mass for no nlinear Schr¨ odinger equations with critical power , Duke Math
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Uniqueness of ground state and minimal-mass blow-up solutions for focusing NLS with Hardy potential
First proof of uniqueness of ground state for focusing NLS with Hardy potential, implying sharp interpolation inequality and characterization of minimal-mass blow-up solutions.