Solutions to the energy-critical NLS with repulsive inverse-square potential below the ground-state kinetic threshold are global and scatter to zero.
Terracini,On positive entire solutions to a class of equations with a singular coefficient and critical exponent.Adv
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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.