Concentrated solutions for a fractional Choquard-type Brézis–Nirenberg problem

This paper is devoted to investigating the following fractional Choquard-type Brézis–Nirenberg problem [Formula: see text] where [Formula: see text], [Formula: see text] denotes the fractional Laplacian, [Formula: see text], [Formula: see text] is a small parameter, and [Formula: see text] is a smooth bounded domain with [Formula: see text], [Formula: see text] being the upper critical exponent in the sense of the Hardy–Littlewood–Sobolev inequality. We construct a family of solutions for the above problem that concentrate around the critical points of the Robin function as [Formula: see text] approaches zero.