| 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 $1\lt p\lt \infty$. The relevant estimates are stable when the fractional order $s$ reaches 1, and the known Sobolev regularity estimates for weak solutions of the local $p$-Laplace equation are recovered.
The talk is based on joint work with Frank Duzaar (Salzburg), Naian Liao (Salzburg), Giovanni Molica Bisci (Urbino), and Raffaella Servadei (Urbino). |
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