11 citations · 11 across the 3 of their papers we have counts for
7 papers
Pohozaev-type identities for differential operators driven by homogeneous vector fields
Stefano Biagi, Andrea Pinamonti, Eugenio Vecchi
We prove Pohozaev-type identities for smooth solutions of Euler-Lagrange equations of second and fourth order that arise from functional depending on homogeneous Hörmander vector f…
Semilinear elliptic equations involving mixed local and nonlocal operators
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
In this paper, we consider an elliptic operator obtained as the superposition of a classical second-order differential operator and a nonlocal operator of fractional type. Though t…
On the Maz'ya-Shaposhnikova formula in Orlicz-Sobolev spaces on Carnot groups
Marco Capolli, Alberto Maione, Ariel Martin Salort +1
In this note we study the limit as of fractional Orlicz-Sobolev seminorms in Carnot groups. This closes the study started in [10]
Asymptotic behaviours in Fractional Orlicz-Sobolev spaces on Carnot groups
Marco Capolli, Alberto Maione, Ariel Martin Salort +1
In this article we define a class of fractional Orlicz-Sobolev spaces on Carnot groups and, in the spirit of the celebrated results of Bourgain-Brezis-Mironescu and of Maz'ya-Shapo…
A symmetry result for cooperative elliptic systems with singularities
Stefano Biagi, Enrico Valdinoci, Eugenio Vecchi
We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small…
New characterizations of magnetic Sobolev spaces
Hoai-Minh Nguyen, Andrea Pinamonti, Marco Squassina +1
We establish two new characterizations of magnetic Sobolev spaces for Lipschitz magnetic fields in terms of nonlocal functionals. The first one is related to the BBM formula, due t…