Scholarlink

<p>The aim of this present work is dedicated to investigating the existence of the solution for <InlineEquation ID="IEq4"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11868_2025_690_Article_IEq1.gif" Format="GIF" Height="17" Rendition="HTML" Resolution="72" Type="Linedraw" Width="16" /> </InlineMediaObject> <EquationSource Format="TEX">\(\phi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϕ</mi> </math></EquationSource> </InlineEquation>-Hilfer fractional double phase problem with nonlocal nonlinearity in the space <InlineEquation ID="IEq5"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11868_2025_690_Article_IEq5.gif" Format="GIF" Height="26" Rendition="HTML" Resolution="72" Type="Linedraw" Width="66" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {H}}_{\Theta , 0}^{\alpha , \beta , \phi }(\Omega )\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msubsup> <mi mathvariant="double-struck">H</mi> <mrow> <mi mathvariant="normal">Θ</mi> <mo>,</mo> <mn>0</mn> </mrow> <mrow> <mi>α</mi> <mo>,</mo> <mi>β</mi> <mo>,</mo> <mi>ϕ</mi> </mrow> </msubsup> <mrow> <mo stretchy="false">(</mo> <mi mathvariant="normal">Ω</mi> <mo stretchy="false">)</mo> </mrow> </mrow> </math></EquationSource> </InlineEquation>. We achieve our result by employing the variational approach and Brouwer degree theory, which we establish in detail through specific conditions. The discussed problem admits sign-changing solutions.</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

Existence of sign-changing solutions for \(\phi \)-Hilfer fractional double-phase problem involving nonlocal nonlinearity

  • 期刊论文

  • 发表日期：

    2025年5月19日

查看全文
  • Razika Ettoussi,
  • Ghizlane Zineddaine,
  • Abderrazak Kassidi,
  • Lalla Saadia Chadli

摘要

The aim of this present work is dedicated to investigating the existence of the solution for \(\phi \) ϕ -Hilfer fractional double phase problem with nonlocal nonlinearity in the space \({\mathbb {H}}_{\Theta , 0}^{\alpha , \beta , \phi }(\Omega )\) H Θ , 0 α , β , ϕ ( Ω ) . We achieve our result by employing the variational approach and Brouwer degree theory, which we establish in detail through specific conditions. The discussed problem admits sign-changing solutions.