講座主題:Classification of isolated singularities for some nonlinear elliptic equations
專家姓名:周風(fēng)
工作單位:華東師范大學(xué)
講座時(shí)間:2018年7月8日16:00
講座地點(diǎn):數(shù)學(xué)院大會(huì)議室
主辦單位:煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)院
內(nèi)容摘要:
In this talk, we will present some results on the isolated singularities for some nonlinear elliptic equations including the nonlinear Choquard equations and the equations involving the Hardy- Leray potentials. We prove the nonexistence and existence of isolated singular positive solutions of Choquard equation for different nonlinearities. We present some suitable distributional identities of the solution and we obtain the qualitative properties for the minimal singular solutions. This is based on joint works with H. Y. Chen and A. Quaas.
主講人介紹:
周風(fēng),,華東師范大學(xué)數(shù)學(xué)系和偏微分方程中心教授,,博士生導(dǎo)師. 1985年武漢大學(xué)中法數(shù)學(xué)班畢業(yè),1993年獲得法國巴黎第六大學(xué)數(shù)學(xué)博士學(xué)位,,師從H. Brezis 教授,。上海市數(shù)學(xué)會(huì)常務(wù)理事,、秘書長,中國數(shù)學(xué)會(huì)常務(wù)理事,,2004年至2012年曾任華東師范大學(xué)數(shù)學(xué)系系主任,。曾入選上海市曙光計(jì)劃,、上海市優(yōu)秀學(xué)科帶頭人計(jì)劃,。主持了國家外國專家局和教育部的“華東師范大學(xué)引智創(chuàng)新數(shù)學(xué)基地“的建設(shè)項(xiàng)目(”111“計(jì)劃)等。其研究領(lǐng)域?yàn)榉蔷€性偏微分方程,。研究成果發(fā)表在Comm. Pure Appl. Math.,、 J. Differential Equation、Calc. Var. 等國際權(quán)威雜志上,。