Uniqueness of Positive Solutions of Nonlinear Elliptic Equations

Release time:2023-12-22Views:11

Title: Uniqueness of Positive Solutions of Nonlinear Elliptic Equations

Speaker:Meiyue Jiang (Peking University)

Time: Thursday, December28, 2023, 16:00-17:00

VenueMingde Building B201-1


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。19897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。

More information about Distinguished Colloquium can be found here.

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