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.
Suzuki , Energy methods for Hartree type equations with inverse-suare potentials , Evolution Equations and Control Theory 2 (2013), 531-542
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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.