Accepted Paper

Inserted: 22 sep 2025
Last Updated: 16 jan 2026

Journal: Z. Angew. Math. Phys.
Year: 2025

Abstract:

We are concerned with a Brezis-Nirenberg type problem for a critical Choquard equation, in the sense of Hardy-Littlewood-Sobolev inequality, and with the Hardy potential in a smooth bounded domain. By exploiting variational methods we obtain existence results, which extend to different perturbation terms. Some estimates of independent interest about a nonlocal minimization problem are also derived.