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<p>In this paper, we study the existence of high energy solutions for the critical fractional Kirchhoff equation in low dimensions. The non-existence of a least energy solution is shown, while the existence of a high energy solution is established under some assumptions of Benci–Cerami type. Moreover, the estimate of the high energy level is characterized specifically. Our approach is mainly based on the global compactness result and the linking theorem.</p>

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On the Benci–Cerami problem for fractional Kirchhoff equation in low dimension

  • 期刊论文

  • 发表日期：

    2025年12月26日

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  • Baihong Li,
  • Yuanhong Wei

摘要

In this paper, we study the existence of high energy solutions for the critical fractional Kirchhoff equation in low dimensions. The non-existence of a least energy solution is shown, while the existence of a high energy solution is established under some assumptions of Benci–Cerami type. Moreover, the estimate of the high energy level is characterized specifically. Our approach is mainly based on the global compactness result and the linking theorem.