The Normalized Infinity Laplace Equation on Unbounded Domains
Time: 2025-11-27
Published By: He Liu
Speaker(s): Tao Wang(BICMR)
Time: 15:00-16:30 November 28, 2025
Venue: Room 77201, Jingchunyuan 78, BICMR
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.
