22 citations · 97 across the 87 of their papers we have counts for
16 papers · 2 filters
Non-symmetric stable operators: regularity theory and integration by parts
Serena Dipierro, Xavier Ros-Oton, Joaquim Serra +1
We study solutions to in , being the generator of any, possibly non-symmetric, stable Lévy process. On the one hand, we study the regularity of solu…
(Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property
Serena Dipierro, Fumihiko Onoue, Enrico Valdinoci
We consider nonlocal minimal surfaces in a cylinder with prescribed datum given by the complement of a slab. We show that when the width of the slab is large the minimizers are dis…
The Bernstein technique for integro-differential equations
Xavier Cabre, Serena Dipierro, Enrico Valdinoci
We extend the classical Bernstein technique to the setting of integro-differential operators. As a consequence, we provide first and one-sided second derivative estimates for solut…
A New Lotka-Volterra Model of Competition With Strategic Aggression -- Civil Wars When Strategy Comes Into Play
Elisa Affili, Serena Dipierro, Luca Rossi +1
In this monograph, we introduce a new model in population dynamics that describes two species sharing the same environmental resources in a situation of open hostility. The interac…
-harmonic approximation of functions of least -seminorm
Claudia Bucur, Serena Dipierro, Luca Lombardini +2
We investigate the convergence as of the minimizers of the -energy for and to those of the -energy, both in the pointwis…
Global gradient estimates for nonlinear parabolic operators
Serena Dipierro, Zu Gao, Enrico Valdinoci
We consider a parabolic equation driven by a nonlinear diffusive operator and we obtain a gradient estimate in the domain where the equation takes place. This estimate depends on t…