Work

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

Year: 2025

Type: article

Abstract: 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.

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360725500304

Authors: Shengbing Deng, Wenshan Luo

Institution: Southwest University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: National Natural Science Foundation of China

Award: G8187333618