3 papers
math.AP2026
Integral Harnack estimates and the rate of extinction of singular fractional diffusion
Filippo M. Cassanello, Simone Ciani, Antonio Iannizzotto
We prove several integral Harnack-type inequalities for local weak solutions of parabolic equations with measurable and bounded coefficients, describing singular s-fractional p-Lap…
math.AP2025
Hölder regularity for a class of doubly non linear PDEs
Filippo Maria Cassanello, Eurica Henriques
We prove local Hölder continuity for non negative, locally bounded, local weak solutions to the class of doubly nonlinear parabolic equations $\partial_t (u_q) - \text{div} (|Du|^…
math.AP2025
Hölder regularity for the fractional p-Laplacian, revisited
Filippo Cassanello, Fatma Gamze Düzgün, Antonio Iannizzotto
We present an alternative proof for local Hölder regularity of the solutions of the fractional p-Laplace equations, based on clustering and expansion (more precisely, recentering)…