Department of MathematicsWe introduce infinity harmonic functions and discuss their regularity in two dimensions. In particular we show that they satisfy an "improvement of flatness" property which gives interior $C^{1,\alpha}$ regularity.
Tuesday, January 31, 2006 - 4:30pm
University of California, Berkeley
We introduce infinity harmonic functions and discuss their regularity in two dimensions. In particular we show that they satisfy an "improvement of flatness" property which gives interior $C^{1,\alpha}$ regularity.