Mathematical analysis constructs solutions concentrating around critical points in a fractional Choquard 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.
No takes yet. Share an insight, caveat, or question.
Deng et al. (2025) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: