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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Existence of solutions is established via variational methods for nonlinear elliptic problems combining HLS and SH critical exponents with subcritical and critical growth.
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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.
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On nonlinear elliptic problems with Hardy-Littlewood-Sobolev critical exponent and Sobolev-Hardy critical exponent
Existence of solutions is established via variational methods for nonlinear elliptic problems combining HLS and SH critical exponents with subcritical and critical growth.