Work

On a nonlinear fractional Choquard equation with critical growth

Year: 2025

Type: article

Abstract: In this paper, we study the existence and qualitative properties of least energy solutions to a fractional Choquard equation, which involves a nonlinearity with critical growth in the sense of the Hardy–Littlewood–Sobolev inequality. Our approach relies on appropriate variational methods.

Source: Discrete and Continuous Dynamical Systems - S

DOI: 10.3934/dcdss.2025135

Author: Vincenzo Ambrosio

Institution: Marche Polytechnic University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Istituto Nazionale di Alta Matematica "Francesco Severi"

Awards: G3347105513, G4845925241