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.
Variable order nonlocal Choquard problem with variable exponents.Complex Variables and Elliptic Equations, 66(5):853–875, 2021
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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.