4 papers
Local minimizers and Gamma-convergence for nonlocal perimeters in Carnot Groups
Alessandro Carbotti, Sebastiano Don, Diego Pallara +1
We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in…
A note on Riemann-Liouville fractional Sobolev spaces
Alessandro Carbotti, Giovanni E. Comi
Taking inspiration from a recent paper by Bergounioux, Leaci, Nardi and Tomarelli we study the Riemann-Liouville fractional Sobolev space , for f…
Local density of Caputo-stationary functions of any order
Alessandro Carbotti, Serena Dipierro, Enrico Valdinoci
We show that any given function can be approximated with arbitrary precision by solutions of linear, time-fractional equations of any prescribed order. This extends a recent result…
Local density of solutions of time and space fractional equations
Alessandro Carbotti, Serena Dipierro, Enrico Valdinoci
We prove that any given function can be smoothly approximated by functions lying in the kernel of a linear operator involving at least one fractional component. The setting in whic…