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<p>In this article, we find the fundamental solution of the fractional <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(p-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>laplacian and use them to prove two different Liouville–type theorems. A non-existence classical Liouville-type theorem for <i>p</i>-superharmonic and a Louville type results for an Emden-Folder type equation with the fractional <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(p-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>laplacian.</p>

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The fundamental solution of the fractional \(p-\)laplacian

  • 期刊论文

  • 发表日期：

    2026年3月4日

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  • Leandro M. Del Pezzo,
  • Alexander Quaas

摘要

In this article, we find the fundamental solution of the fractional \(p-\) p - laplacian and use them to prove two different Liouville–type theorems. A non-existence classical Liouville-type theorem for p-superharmonic and a Louville type results for an Emden-Folder type equation with the fractional \(p-\) p - laplacian.