Event description
The fractional p-Laplacian operator is the natural extension of the classical p-Laplacian to the nonlocal setting and appears as the first variation of the Gagliardo seminorm. In this talk, we will discuss a recent result obtained in collaboration with Davide Giovagnoli and Luis Silvestre, where we solve a standing conjecture asserting that, as in the local setting, solutions of the homogeneous equation are still Hölder differentiable.