The scattering/blowup dichotomy for the 4d mass-energy double critical NLS persists at the energy threshold E(u_0)=E^c(W).
Luo,On the sharp scattering threshold for the mass-energy double critical nonlinear Schr¨ odinger equation via double track profile decomposition, Ann
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Threshold dynamics for the 4$d$ mass-energy double critical NLS
The scattering/blowup dichotomy for the 4d mass-energy double critical NLS persists at the energy threshold E(u_0)=E^c(W).