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<p>The aim of this paper is to apply a three critical points theorem, to prove the existence of at least three weak solutions for some singular elliptic problems involving a <i>p</i>-biharmonic operator, subject to Navier boundary conditions in a smooth bounded domain in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="41478_2025_915_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="28" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {R}}^N.\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>N</mi> </msup> <mo>.</mo> </mrow> </math></EquationSource> </InlineEquation> Our approach is based on variational methods and critical points theory.</p>

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Multiple non-zero weak solutions for some singular p-biharmonic problems

  • 期刊论文

  • 发表日期：

    2025年5月11日

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  • Mohammad Reza Heidari Tavani

摘要

The aim of this paper is to apply a three critical points theorem, to prove the existence of at least three weak solutions for some singular elliptic problems involving a p-biharmonic operator, subject to Navier boundary conditions in a smooth bounded domain in \({\mathbb {R}}^N.\) R N . Our approach is based on variational methods and critical points theory.