Abstract
In this paper, we consider the following fractional Choquard equation: 0, \\end{cases} \\] ]]> { ( − Δ ) s u + V ( x ) u + λu = ( I α ∗ F ( u ) ) f ( u ) in R N , ∫ R N u 2 d x = ρ 2 , ρ > 0 , where s ∈ ( 0 , 1 ) , α ∈ ( 0 , N ) , N>2s and V : R N → R is a continuous nonnegative potential and vanishes at infinity. Under some mild assumptions imposed on V and f, we establish the existence of L 2 -normalized solution ( u , λ ) ∈ H s ( R N ) × R + .
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