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<p>In this paper, our aim is to establish a generalized version of Berestycki-Lions theorem about the fractional p-Laplacian operator. As an application of this theorem, we consider the existence of a ground state solution to the critical Schrödinger equation with a potential term.</p>

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Ground state solution for a critical Schrodinger equation involving the fractional p-Laplacian operator and potential term

  • 期刊论文

  • 发表日期：

    2026年5月25日

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  • Khalid Bouabid,
  • Rachid Echarghaoui,
  • Zakaria Zaimi

摘要

In this paper, our aim is to establish a generalized version of Berestycki-Lions theorem about the fractional p-Laplacian operator. As an application of this theorem, we consider the existence of a ground state solution to the critical Schrödinger equation with a potential term.