学术报告

【online】Asymptotic Expansion at Infinity of Exterior Solutions to Lagrangian Mean ......

发布人:发布时间: 2020-08-18

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题目:Asymptotic Expansion at Infinity of Exterior Solutions to Lagrangian Mean Curvature Equations


报告人:保继光 教授(北京师范大学)


时间:2020年8月25日上午 9:00


地点:Zoom会议  ID: 696 1544 3190(密码:623317)


摘要:We obtain the asymptotic expansion of solutions under quadratic growth condition of a class of Lagrangian mean curvature equations in exterior domain, where f satisfies a given asymptotic

behavior at infinity. When f(x) is a constant-near infinity, it is not necessary

to demand the quadratic growth condition anymore. These results are a kind of exterior Liouville theorem, and can also be regarded as an extension of theorems of Pogorelov, Flanders and Yuan on Monge-Ampere equations

and special Lagrangian equations.


报告人简介:保继光,理学博士,二级教授,博士生导师。1981~1988年在北京师范大学数学系学习,获学士和硕士学位。1988年至今在北京师范大学工作。1995~1998年在北京大学数学科学学院学习并获博士学位。2000~2001年在加拿大University of British Columbia做博士后研究。主要研究方向为偏微分方程和数学教育,主要涉及几何、材料和生物等领域,在Archive for Rational Mechanics and Analysis, Annales de l'Institut Henri Poincaré, Journal of Differential Equations, Calculus of Variations and PDE's, Advance in Mathematics, Journal of Functional Analysis, American Journal of Mathematics, Transactions of the American Mathematical Society, Scientific Reports和Biomaterials等国际高水平刊物上发表70余篇论文。

 

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