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<p>In this paper, we are interested in a class of Kirchhoff type logarithmic problems in bounded domains. Since the logarithmic nonlinearity may change sign in the domain and does not satisfy the Ambrosetti-Rabinowitz condition, we cannot obtain the boundedness of (PS) sequence in a standard way. By the Nehari manifold method and introducing some truncation techniques, we overcome these obstacles by restricting the sign of weight potential in three cases and obtain the existence results respectively.</p>

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Some Existence Results for a Class of Kirchhoff Type Logarithmic Problems in Bounded Domains

  • 期刊论文

  • 发表日期：

    2025年5月29日

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  • Yong-bin Wang,
  • Hai-ning Fan

摘要

In this paper, we are interested in a class of Kirchhoff type logarithmic problems in bounded domains. Since the logarithmic nonlinearity may change sign in the domain and does not satisfy the Ambrosetti-Rabinowitz condition, we cannot obtain the boundedness of (PS) sequence in a standard way. By the Nehari manifold method and introducing some truncation techniques, we overcome these obstacles by restricting the sign of weight potential in three cases and obtain the existence results respectively.