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Existence and non-existence results for a fractional Lane-Emden equation with nonlocal Neumann conditions
Eleonora Cinti, Matteo Talluri, Tobias Weth
We consider the fractional Lane-Emden equation with a nonlocal Neumann condition in a half-space. We establish the existence of non-constant solutions for the critical problem in a…
Maz'ya-type bounds for sharp constants in fractional Poincaré-Sobolev inequalities
Francesco Bozzola, Matteo Talluri
We prove estimates for the sharp constants in fractional Poincaré-Sobolev inequalities associated to an open set, in terms of a nonlocal capacitary extension of its inradius. This…
On a fractional semilinear Neumann problem arising in Chemotaxis
Eleonora Cinti, Matteo Talluri
We study a semilinear and nonlocal Neumann problem, which is the fractional analogue of the problem considered by Lin--Ni--Takagi in the '80s. The model under consideration arises…
Barycentric stability of nonlocal perimeters: the convex case
Chiara Gambicchia, Enzo Maria Merlino, Berardo Ruffini +1
In this work, we establish a sharp form of a nonlocal quantitative isoperimetric inequality involving the barycentric asymmetry for convex sets. This result can be seen as the nonl…
A multiplicity result for a double perturbed Schrödinger-Bopp-Podolsky-Proca system
Matteo Talluri
In this paper we will prove a multiplicity result for a double perturbed Schrödinger-Bopp- Podolsky-Proca system on a compact 3-dimensional Riemannian manifold without boundary. We…