报告题目：POSITIVE SOLUTION FOR A CRITICAL NEUMANN PROBLEM

报 告 人：邓引斌教授（华中师范大学）

报告时间：2025年9月26日  16:00

报告地点：格物楼528

报告摘要：

In this talk, we concern with the existence of positive solutions for the following Neumann problem with critical growth

By the Mountain Pass Theorem without (PS) condition and the delicate estimates for Mountain Pass level, we obtain the existence of a positive solution for different value of the parameters p and µ. Moreover, the nonexistence of positive solutions for problem (0.1) is also obtained by an improved Pohozaev identity and Hardy inequality according to the value of the parameters µ and p.

报告人简介：

邓引斌，华中师范大学二级教授，博雅学者，桂苑名师，国务院政府特殊津贴获得者。长期致力于偏微分方程及其应用等领域的研究；曾多次主持或参与国家自然科学基金重点项目、海外学者合作研究延续项目等大型科研项目的研究；科研成果曾获教育部自然科学奖二等奖；湖北省自然科学一等奖，教学成果曾获国家教学成果二等奖。