Thursday, March 20, 2025 - 11:40 in V2-205
Regularity for (s,p)-harmonic functions
A talk in the Nonlocal Equations: Analysis and Numerics series by
Verena Bögelein from Salzburg
| Abstract: |
We report on higher Sobolev and Hölder regularity results for local weak
solutions of the fractional p-Laplace equation of order $s \in (0, 1)$ with
$1 < p < \infty$. 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. As an application we establish
Calderon-Zygmund type estimates at the gradient level for the associated
fractional p-Poisson equation.
The talk is based on joint work with Frank Duzaar (Salzburg), Kristian
Moring (Salzburg), Naian Liao (Salzburg), Giovanni Molica Bisci (Urbino),
and Raffaella Servadei (Urbino).
Within the CRC this talk is associated to the project(s): A7 |
Back
