For the critical fractional Choquard equation with a perturbation on a bounded star-shaped domain, at least two positive normalized solutions exist when the prescribed mass lies below an explicit threshold.
L´ evy processes-from probability to finance and quantum groups.Notices of the AMS, 51(11):1336–1347, 2004
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Normalized solutions for fractional Choquard equation with critical growth on bounded domain
For the critical fractional Choquard equation with a perturbation on a bounded star-shaped domain, at least two positive normalized solutions exist when the prescribed mass lies below an explicit threshold.