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<p>In this paper, we are concerned with the normalized solutions for Choquard equations involving Hardy terms and local perturbations. Under different assumptions on the potentials, some existence results about the normalized solutions are obtained. Besides, the asymptotic properties of the solutions to Choquard equations involving Hardy terms, local perturbations and coercive potentials as <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10998_2025_642_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="47" /> </InlineMediaObject> <EquationSource Format="TEX">\(q\nearrow \bar{q}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>q</mi> <mo>↗</mo> <mover accent="true"> <mrow> <mi>q</mi> </mrow> <mrow> <mo stretchy="false">¯</mo> </mrow> </mover> </mrow> </math></EquationSource> </InlineEquation> are also presented.</p>

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Normalized solutions for Choquard equations involving Hardy terms and local perturbations

  • 期刊论文

  • 发表日期：

    2025年4月17日

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  • Zhenyu Guo,
  • Tianqing Zhang

摘要

In this paper, we are concerned with the normalized solutions for Choquard equations involving Hardy terms and local perturbations. Under different assumptions on the potentials, some existence results about the normalized solutions are obtained. Besides, the asymptotic properties of the solutions to Choquard equations involving Hardy terms, local perturbations and coercive potentials as \(q\nearrow \bar{q}\) q ↗ q ¯ are also presented.