北航学术报告
--- 分析、偏微分方程与动力系统讨论班(2025秋季第5讲)
On the classification of entire solutions to the critical p-Laplace equation
欧乾忠(云南师范大学)
时间:2025年09月28日(周日)上午10:00-11:00
腾讯会议:450-806-616
摘要: In this talk, we will focus on the classification of positive solutions to the critical p-Laplace equation. Note that for the subcritical case, the equations have no positive solutions by the well known works of Gidas-Spruck [CPAM1981] and Serrin-Zou [ACTA2002]. While for the critical case, there are nontrivial 2-parameters family of solutions and which are classified by Caffarelli-Gidas-Spruck [CPAM1989] for p=2 . By exploiting the method of integral estimate, we obtain the same classification results for (n+1)/3< p< n.
报告人简介: 欧乾忠,云南师范大学数学学院教授,广西高等学校优秀人才资助计划获得者。2008年毕业于华东师范大学数学系,获博士学位。主要从事非线性椭圆偏微分方程理论研究,在非线性椭圆偏微分方程解的凸性与刘维尔定理等方面完成了一系列高水平的工作;主要成果发表在CPAM、Adv. Math.、Math. Ann.、Trans. Amer. Math. Soc.等国际著名期刊上。主持完成国家自然科学基金项目2项,主持国家自然科学基金重点专项项目子课题1项。
邀请人:戴蔚、彭发、彭少龙
欢迎大家参加!