Nonlocal problems with Hardy–Littlewood–Sobolev critical exponent and Hardy potential
Abstract
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.
Fields of Study & Subjects
Nonlinear Partial Differential Equations
Mathematical Inequalities and Applications
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- Zeitschrift für angewandte Mathematik und Physik
- Volume
- 77
- Issue
- 3
- Publication date
- 11 February 2026
- Language
- EN