For the critical Hartree equation, positive singular solutions are claimed to be radially symmetric and to converge near the singularity to a blow-up limit, but the key lower-bound proof is missing.
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Local asymptotics for singular solutions to critical Hartree equations
For the critical Hartree equation, positive singular solutions are claimed to be radially symmetric and to converge near the singularity to a blow-up limit, but the key lower-bound proof is missing.