题目(Title):Asymptotic Expansion at Infinity of Exterior Solutions to Lagrangian Mean Curvature Equations
报告人(Speaker):保继光 教授(北京师范大学)
报告时间(Time):2020年8月25日上午 9:00(北京时间)
方式(Online):Zoom会议 ID: 696 1544 3190(密码:623317)
摘要(Abstract):We obtain the asymptotic expansion of solutions under quadratic growth condition of a class of Lagrangian mean curvature equations in exterior domain, where satisfies a given asymptotic behavior at infinity. When is a constant-near infinity, it is not necessary to demand the quadratic growth condition anymore. These results are a kindof 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,二级教授,博士生导师。主要研究方向为偏微分方程,主要涉及几何、材料和生物等领域,在Archive for Rational Mechanics and Analysis, Calculus of Variations and PDE's, Advance in Mathematics, Journal of Functional Analysis, American Journal of Mathematics和Transactions of the American Mathematical Society等国际高水平刊物上发表70余篇论文。
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数学与统计学院
2020年8月25日