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.
Suzuki , Solvability of nonlinear Schr¨ odinger equations with some critical singular potential via gen- eralized Hardy-Rellich inequalities , Funkcialaj Ekvacioj 59 (2016), 1–34
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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.