报告题目：Existence of ground solutions to a critical p-Kirchhoff equation with a logarithmic perturbation

报告人：李清微 副教授 大连海事大学

报告时间：2026年7月18日19:00-20:00

报告地点：腾讯会议：

会议链接：848-596-042

校内联系人：韩玉柱 [email protected]

报告摘要：

  This talk is concerned with the existence of ground state solutions to a critical p-Kirchhoff problem with a logarithmic perturbation. It is well known that the energy functionals associated with critical p-Kirchhoff equations lack compactness, and the situation becomes more complicated when the nonlinearity is logarithmic type since it satisfies neither the monotonicity condition nor the Ambrosetti-Rabinowitz condition. A mountain pass solution to the equation is obtained by taking full advantage of the Mountain Pass Lemma, Lions' second concentration compactness principle, and a delicate estimate of the logarithmic term, this solution is also the ground state solution to the equation.

报告人简介：

  李清微, 大连海事大学理学院副教授，理学博士。2017年毕业于成人直播平台 。作为课题负责人主持国家自然科学基金项目1项、辽宁省教育厅基本科研项目1项。主要从事偏微分方程解的性质等相关研究，在国际学术期刊发表多篇学术论文。