From the 1 of 8 linked papers with an AI index.
8 papers
On boundary regularity for the fractional p-Laplacian with unbounded reactions
Antonio Iannizzotto, Sunra Mosconi
The paper establishes Hölder continuity up to the boundary for solutions of elliptic equations involving the fractional p‑Laplacian with reaction terms in L^q, and describes the pr…
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…
Existence of solutions for nonlinear equations with mixed local and nonlocal operators
Antonio Iannizzotto
We study an elliptic equation, with homogeneous Dirichlet boundary conditions, driven by a mixed type operator (the sum of the Laplacian and the fractional Laplacian), involving a…
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)…
A clustering theorem in fractional Sobolev spaces
Fatma Gamza Düzgün, Antonio Iannizzotto, Vincenzo Vespri
We prove a general clustering result for the fractional Sobolev space : whenever the positivity set of a function in a square has measure bounded from below by a multi…
A survey on boundary regularity for the fractional p-Laplacian and its applications
Antonio Iannizzotto
We survey some recent regularity results for fractional p-Laplacian elliptic equations, especially focusing on pure and weighted boundary Hölder continuity of the solutions of rel…