Special Session 108: Regularity in local versus nonlocal problems
On the H\older differentiability of fractional $p$-harmonic functions
Davide Giovagnoli
University of Bologna
Italy
Co-Author(s):    David Jesus and Luis Silvestre
Abstract:
In this talk, we present a recent result, obtained with David Jesus (KAUST) and Luis Silvestre (University of Chicago), establishing that solutions to the homogeneous fractional p-laplace equation enjoy H\older differentiability whenever 2 \leq p < \frac{2}{1-s}, extending the well-known regularity theory from the local to the nonlocal setting.
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