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<p>In the paper, by exploring Stampacchia truncation method, some comparison techniques and variational approaches, we study the existence and regularity of positive solutions for a boundary value problem involving the fractional <i>p</i>-Laplacian, where the nonlinear term satisfies some growth conditions but without the Ambrosetti and Rabinowitz condition.</p>

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Existence and Regularity of Positive Solutions for a Boundary Value Problem Involving the Fractional p-Laplacian

  • 期刊论文

  • 发表日期：

    2025年10月6日

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  • Peng-cheng Wu,
  • Yi-sheng Huang,
  • Yu-ying Zhou

摘要

In the paper, by exploring Stampacchia truncation method, some comparison techniques and variational approaches, we study the existence and regularity of positive solutions for a boundary value problem involving the fractional p-Laplacian, where the nonlinear term satisfies some growth conditions but without the Ambrosetti and Rabinowitz condition.