主講人：周風(fēng) 華東師范大學(xué)教授

時(shí)間：2025年10月27日14：00

地點(diǎn)：徐匯校區(qū)三號(hào)樓332室

舉辦單位：數(shù)理學(xué)院

主講人介紹：周風(fēng)，華東師范大學(xué)數(shù)學(xué)科學(xué)學(xué)院教授，博士生導(dǎo)師。1993年獲得巴黎第六大學(xué)數(shù)學(xué)博士學(xué)位，師從H. Brezis教授。2004年至2012年任華東師范大學(xué)數(shù)學(xué)系系主任。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，主持國(guó)家“數(shù)學(xué)創(chuàng)新引智”計(jì)劃。研究領(lǐng)域?yàn)榉蔷€(xiàn)性偏微分方程，主要研究幾何、數(shù)學(xué)物理中若干非線(xiàn)性偏微分方程解的性態(tài)及相關(guān)問(wèn)題。研究成果發(fā)表在Comm. Pure Appl. Math., J. Funct. Anal., Ann. I.H.P.，Calc. Var. PDEs., J. Differential Equations等國(guó)際著名數(shù)學(xué)期刊上。

內(nèi)容介紹：We will talk about the existence and nonexistence of positive solutions to Lane- Emden type equations with a potential on the d-dimensional integer lattice graph $Z^d$, as well as in the half-space and quadrant domains, under the zero Dirichlet boundary condition in the latter two cases. The existence result is established via variational methods, while in contrast, the nonexistence is obtained by iteratively analyzing the decay behavior at infinity. This is based on joint work with HY Chen and BB Hua.