<p>In this paper, we establish the global <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11868_2025_712_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="48" /> </InlineMediaObject> <EquationSource Format="TEX">\(H^{s,2+\delta }\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mi>H</mi> <mrow> <mi>s</mi> <mo>,</mo> <mn>2</mn> <mo>+</mo> <mi>δ</mi> </mrow> </msup> </math></EquationSource> </InlineEquation> estimate for weak solutions of fractional nonlocal divergence form equations by an approach involving inverse Hölder inequality and the Hardy-Littlewood maximal function.</p>

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Global \(H^{s,2+\delta }\) estimates for weak solutions of fractional nonlocal divergence form equations

  • Zhenjie Li,
  • Lihe Wang,
  • Chunqin Zhou

摘要

In this paper, we establish the global \(H^{s,2+\delta }\) H s , 2 + δ estimate for weak solutions of fractional nonlocal divergence form equations by an approach involving inverse Hölder inequality and the Hardy-Littlewood maximal function.