講座主題:A variational approach in the exponential nonlinear equation
主講人:周春琴
工作單位:上海交通大學(xué)
活動(dòng)時(shí)間:2021年3月12日 15:00-16:00
講座地點(diǎn):騰訊會(huì)議ID:712205714 密碼:003540
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 introduce some kinds of equations with exponential nonlinearities motivated by uniformization problems as well as from models in Mathematical Physics. In regard to the existence, we will review the results of these equations from a variational point of view. Finally, we will focus on the solvability of a kind of the exponential Neumann boundary problem by using Malchiodi’s min-max method, which is a joint work with Tao Zhang.
主講人介紹:
周春琴,上海交通大學(xué)教授,從事非線(xiàn)性偏微分方程及其應(yīng)用的研究,特別是對(duì)橢圓偏微分方程的存在性和正則性理論,調(diào)和映射的正則性理論,和半線(xiàn)性橢圓型方程的blow-up分析理論和存在性方法進(jìn)行過(guò)系統(tǒng)的研究,對(duì)橢圓型方程的正則性理論和半線(xiàn)性偏微分方程的blow-up分析方法有了深刻的理解,并取得了一批有深刻意義的研究成果。相關(guān)工作發(fā)表在Ann. Inst. H. PoincaréAnal. Non Linéaire,Calc. Var. Partial Differential Equations,Comm. Partial Differential Equations, J. Differential Geom., J. Funct. Anal., J. Math. Pures Appl., Math. Ann.等雜志上。