Special Session 66: Geometric insights in Partial Differential Equations: advances and challenges

Regularity for (s,p)-harmonic functions
Verena Bogelein
University of Salzburg
Austria
Co-Author(s):    Frank Duzaar, Naian Liao, Giovanni Molica Bisci, and Raffaella Servadei
Abstract:
We report on higher Sobolev and H\older regularity results for local weak solutions of the fractional $p$-Laplace equation of order $s\in(0,1)$ with $1