Abstract

This paper is concerned with the following Choquard equation − Δ u + ( V ( x ) − μ | x | 2 ) u = ( ∫ R N F ( u ( y ) ) | x − y | α d y ) f ( u ) , u ∈ H 1 ( R N ) , where N ⩾ 3 , 0 ⩽ μ < ( N − 2 ) 2 4 , 0 < α < N , V is 1-periodic in each of

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