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保继光教授学术报告

作者: 时间:2018-11-13 点击数:

报告题目: Entire solutions of Monge-Ampere equations with prescribed asymptotic behaviors

报告时间: 201811161440-1540

报告地点: 数学院大会议室

报告人: 保继光教授 (北京师范大学)

内容摘要:We prove the existence of entire solutions of the Monge-Ampere equations with prescribed asymptotic behavior at infinity of the plane, which was left by Caffarelli-Li in 2003. The special difficulty of the problem in dimension two is due to the global logarithmic term in the asymptotic expansion of solutions at infinity. Furthermore, we give a PDE proof of the characterization of the space of solutions of the Monge-Ampere equation det with singular points, which was established by Galvez-Martinez-Mira in 2005. We also obtain the existence in higher dimensional cases with general right hand sides.

报告人简介: 北京范大学数学学院二教授,博士生导师. 享受国院政府特殊津贴专家。任教育部高等数学类专业员会数学与复教育部重点实验室副主任,中国数学会理事和基教育工作委员会主任,中国少民族数学教育专业员会副理事。其研究线性偏微分方程。在《Amer. J. Math.》、 《Trans. Amer. Math. Soc.》、 《Adv. Math.》、 《Arch. Ration. Mech. Anal.》、 《Calc. Var. Partial Differential Equations》、 《Ann. Henri Poincaré》、 《J. Funct. Anal.》、 《Indiana Univ. Math.》、 J. Differ. Equations》和《Biomaterials》等国际顶级学术期刊70余篇。

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