BIMSA > BIMSA Lecture Anisotropic minimal graphs with free boundary
Anisotropic minimal graphs with free boundary
Organizer
Gaoming Wang
Speaker
Xuwen Zhang
Time
Wednesday, March 25, 2026 2:30 PM - 3:30 PM
Venue
A3-1-103
Online
Zoom 242 742 6089 (BIMSA)
Abstract
Minimal surface equation is a classical topic in Geometric Analysis and PDEs. In this talk, we discuss recent progress on anisotropic minimal surface equation, and prove the following Liouville-type theorem: any anisotropic minimal graph with free boundary in the half-space must be flat, provided that the graph function has at most one-side linear growth. The linear growth assumption is sharp, in view of the recent examples constructed by Connor Mooney-Yang Yang (The anisotropic Bernstein problem, Invent. Math. 235 (2024), no. 1, 211--232). This is a joint work with Guofang Wang, Wei Wei, and Chao Xia.