The Normalized Infinity Laplace Equation on Unbounded Domains
发布时间：2025年11月27日
浏览次数：7
发布者: He Liu
主讲人： 汪涛（数学中心）
活动时间： 从 2025-11-28 15:00 到 16:30
场地： 北京国际数学研究中心，镜春园78号院（怀新园）77201室
We investigate the existence and uniqueness of solutions to the normalized infinity Laplace equation on unbounded domains. We first discuss the existence and uniqueness of bounded solutions for the discrete infinity Laplace equation on discrete graphs with finite width. Then, using tug-of-war games, we prove the existence of bounded solutions for the normalized infinity Laplace equation on Euclidean domains with finite width. Finally, we examine the existence and uniqueness of sublinear infinity harmonic functions on general unbounded domains. This is based on joint works with Fengwen Han.
