Scholarlink

<p>In this paper, a class of Kirchhoff equations on a bounded domain with a combination of critical and logarithmic terms is studied by variational methods. Firstly, a mountain pass solution to the equation is obtained by using Lions’ second concentration compactness principle and an estimate of the logarithmic term, which is also the ground state solution of it. Secondly, the multiplicity of solutions to the equation is got by a version of symmetry mountain pass theorem. Finally, the asymptotic behavior of the solutions as the coefficient of the nonlocal term tends to zero is studied.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Existence and Asymptotic Behavior of Solutions for Kirchhoff Type Equations with Critical Exponent and a Logarithmic Term

  • 期刊论文

  • 发表日期：

    2025年8月30日

查看全文
  • Anran Li,
  • Chongqing Wei,
  • Xiaozhen Zhang

摘要

In this paper, a class of Kirchhoff equations on a bounded domain with a combination of critical and logarithmic terms is studied by variational methods. Firstly, a mountain pass solution to the equation is obtained by using Lions’ second concentration compactness principle and an estimate of the logarithmic term, which is also the ground state solution of it. Secondly, the multiplicity of solutions to the equation is got by a version of symmetry mountain pass theorem. Finally, the asymptotic behavior of the solutions as the coefficient of the nonlocal term tends to zero is studied.