Solutions to the energy-critical NLS with repulsive inverse-square potential below the ground-state kinetic threshold are global and scatter to zero.
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math.AP 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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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Threshold Scattering for the Energy-Critical NLS with a Repulsive Inverse Square Potential
Solutions to the energy-critical NLS with repulsive inverse-square potential below the ground-state kinetic threshold are global and scatter to zero.
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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.