C1+alpha Regularity for the Fractional p-Laplacian
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.
Overview
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.
Presenters
Brief Biography
David Jesus received his Ph.D. from the University of Coimbra in Portugal under the supervision of José Miguel Urbano and Edgard Pimentel in 2023. Then completed 2 years of postdoc in Bologna before joining KAUST in 2025.
Related People
Related Researchers
David De Jesus
- Postdoctoral Research Fellow, Applied Mathematics and Computational Science