Uniqueness of Positive Solutions of Nonlinear Elliptic Equations

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:

Letbe 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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