Scholarlink

<p>We study a Dirichlet problem driven by the (degenerate or singular) fractional <i>p</i>-Laplacian and involving a <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="42985_2025_316_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="51" /> </InlineMediaObject> <EquationSource Format="TEX">\((p-1)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>p</mi> <mo>-</mo> <mn>1</mn> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-superlinear reaction at infinity, not necessarily satisfying the Ambrosetti–Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Multiple solutions for superlinear fractional p-Laplacian equations

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2025年3月22日

查看全文
  • Antonio Iannizzotto,
  • Vasile Staicu,
  • Vincenzo Vespri

摘要

We study a Dirichlet problem driven by the (degenerate or singular) fractional p-Laplacian and involving a \((p-1)\) ( p - 1 ) -superlinear reaction at infinity, not necessarily satisfying the Ambrosetti–Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem.