Special Session 71: Pure and Applied Analysis, Local and Nonlocal

Harmonic functions are Lipschitz continuous

Karthik Adimurthi
TIFR-CAM
India
Co-Author(s):    Karthik Adimurthi
Abstract:
In this talk, we discuss some old ideas from DeGiorgi-Nash-Moser theory and Piccinini-Spagnolo. Subsequently, we propose a possible strategy to extend the result of Piccinini-Spagnolo to higher dimensions and prove this idea for harmonic functions.