講座主題：Entire solutions of Monge-Ampere equations with prescribed asymptotic behaviors
專家姓名：保繼光
工作單位：北京師范大學(xué)數(shù)學(xué)學(xué)院
講座時間：2018年11月16日14時40分
講座地點：數(shù)學(xué)學(xué)院340
主辦單位：煙臺大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)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.
主講人介紹：
保繼光，北京師范大學(xué)數(shù)學(xué)學(xué)院二級教授，博士生導(dǎo)師. 享受國務(wù)院政府特殊津貼專家。現(xiàn)任教育部高等學(xué)校數(shù)學(xué)類專業(yè)教學(xué)指導(dǎo)委員會委員，數(shù)學(xué)與復(fù)雜系統(tǒng)教育部重點實驗室副主任，中國數(shù)學(xué)會常務(wù)理事和基礎(chǔ)教育工作委員會主任，中國少數(shù)民族數(shù)學(xué)教育專業(yè)委員會副理事長。其研究領(lǐng)域為非線性偏微分方程。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》等國際頂級學(xué)術(shù)期刊發(fā)表論文70余篇。
