This analysis demonstrates the existence of solutions for critical equations in particular domains, suggesting broader applications in mathematical physics.
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.
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Gu et al. (2026) studied this question.
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