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<p>In this paper, we studied a fractional Kirchhoff equation with a singular potential. Using concentration-compactness lemma, we obtained some existence and nonexistence of minimizers for related constrained minimization problems. Moreover, we studied the blow-up behavior of positive solutions to the above equation. These conclusions extend some known ones in previous papers.</p>

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Normalized solutions for fractional Kirchhoff equations with singular potential

  • 期刊论文

  • 发表日期：

    2025年5月28日

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  • Lintao Liu,
  • Haibo Chen,
  • Jie Yang

摘要

In this paper, we studied a fractional Kirchhoff equation with a singular potential. Using concentration-compactness lemma, we obtained some existence and nonexistence of minimizers for related constrained minimization problems. Moreover, we studied the blow-up behavior of positive solutions to the above equation. These conclusions extend some known ones in previous papers.