Abstract
We study, under the radial symmetry assumption, the solutions to the fractional Schrödinger equations of critical nonlinearity in R1+d,d≥2, with Lévy index 2d/(2d−1)<α<2. We first prove the linear profile decomposition and then apply it to investigate the properties of the blowup solutions of the nonlinear equations with mass-critical Hartree type nonlinearity.
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