On the dimension of p-harmonic measure in space

John Lewis, Kaj Nyström, Andrew Vogel

Abstract: The authors study the dimension of p-harmonic measures that arise from non-negative solutions to the p-Laplace equation, vanishing on a portion of the boundary of a Reifenberg flat domains.

Journal: J. Eur. Math. Soc. (JEMS) 15 (2013), no. 6, 2197–2256.

DOI: 10.4171/JEMS/420