The Neumann problem of special Lagrangian type equations

發(fā)布者:文明辦發(fā)布時(shí)間:2024-03-27瀏覽次數(shù):156

主講人:張德凱 上海大學(xué)講師


時(shí)間:2024年3月30日16:00


地點(diǎn):三號(hào)樓332室


舉辦單位:數(shù)理學(xué)院


主講人介紹:張德凱博士主要從事非線性偏微分方程與幾何分析的研究工作。博士畢業(yè)于中科大,2018.07-2021.07在復(fù)旦大學(xué)上海數(shù)學(xué)中心做博士后。相關(guān)研究成果接受或發(fā)表在JDG,JDE,JGA,Pacific J. Math.等期刊,曾入選上海市超級(jí)博士后資助,曾獲國家自然科學(xué)基金青年基金和博士后基金。


內(nèi)容介紹:The special Lagrangian equation is an fully nonlinear elliptic PDE, which arises from several important geometric problems. In this talk, we study the Neumann problem for special Lagrangian type equations with critical and supercritical phases. These equations naturally generalize the special Lagrangian equation and the k-Hessian equation. By establishing uniform a priori estimates up to the second order, we obtain the existence result.