Title: Uniqueness of Positive Solutions of Nonlinear Elliptic Equations
Speaker:Meiyue Jiang (Peking University)
Time: Thursday, December28, 2023, 16:00-17:00
Venue: Mingde Building B201-1
Abstract:
Let 
be a bounded and regular domain. In this talk we will discuss some uniqueness results of positive solutions of the following nonlinear elliptic equation
via a kind of convexity of the associated functional
where 
. Some related results for the 
-Laplacian equation and other equations will also be discussed.
About the Speaker：
蒋美跃，北京大学数学科学学院教授，博士生导师。1989年7月于北京大学获理学博士学位，1999年起任北京大学数学科学学院教授，主要研究领域为非线性分析与非线性微分方程，包括哈密顿系统周期解存在性，辛几何中Lagrange子流形相交问题的Arnold猜测，ROF泛函极小问题，1-Laplace算子的特征值问题等。承担多项国家自然科学基金面上项目和重点项目，在国内外重要学术期刊CVPDE, Ann. Inst. H. Poincare, JDE, Nonlinearity等发表过多篇具有国际影响力的论文。
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