Abstract
Some well-posedness issues for a class of fractional Schrödinger–Choquard equations are investigated. First, local well-posedness is obtained in the energy space. Second, the best constant of a Gagliardo–Nirenberg type inequality is investigated. Third, a sharp threshold of global existence versus blow-up dichotomy is obtained. Finally, the mass concentration is established for the blowing-up solutions of the mass critical equation.
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