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<p>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.</p>

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

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月11日

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  • Guangze Gu,
  • Aleks Jevnikar

摘要

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.