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.
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Existence of ground states, non-existence results, global/blow-up criteria, and minimal-mass blow-up characterization for NLS with critical Hardy potential and Choquard nonlinearity in the energy-subcritical regime.
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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.
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Nonlinear Schr\"{o}dinger equations with critical Hardy potential and Choquard nonlinearity
Existence of ground states, non-existence results, global/blow-up criteria, and minimal-mass blow-up characterization for NLS with critical Hardy potential and Choquard nonlinearity in the energy-subcritical regime.