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arXiv · 2509.15697

Nonlocal problems with Hardy-Littlewood-Sobolev critical exponent and Hardy potential

Guangze Gu·Aleks Jevnikar
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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.

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Guangze Gu, Aleks Jevnikar. 2025-09-19. Nonlocal problems with Hardy-Littlewood-Sobolev critical exponent and Hardy potential. https://doi.org/10.1007/s00033-026-02732-w

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