Geometric Analysis and Topology Seminar

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Infinity-harmonic functions in the plane

Speaker: Kai Xu, IAS

Location: Warren Weaver Hall 512

Date: Friday, September 18, 2026, 11 a.m.

Synopsis:

Infinity-harmonicity may be viewed as p-harmonicity as p tends to infinity. It is recently proved that infinity-harmonic functions in domains of R^2 are C^{1,1/3}. This talk is devoted to discussing this sharp regularity as well as the fine structures of planar infinity-harmonic functions.