22 citations · 95 across the 25 of their papers we have counts for
6 papers · 1 filter
Symmetry and monotonicity of singular solutions of double phase problems
Stefano Biagi, Francesco Esposito, Eugenio Vecchi
We consider positive singular solutions of PDEs arising from double phase functionals. Exploiting a rather new version of the moving plane method originally developed by Sciunzi, w…
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…
Maz'ya-Shaposhnikova formula in Magnetic Fractional Orlicz-Sobolev spaces
Alberto Maione, Ariel Martin Salort, Eugenio Vecchi
In this note we prove the validity of the Maz'ya-Shaposhnikova formula in magnetic fractional Orlicz-Sobolev spaces. This complements a previous study of the limit as $s \uparrow 1…
Mixed local and nonlocal elliptic operators: regularity and maximum principles
Stefano Biagi, Serena Dipierro, Enrico Valdinoci +1
We start in this paper a systematic study of the superpositions of elliptic operators with different orders, mixing classical and fractional scenarios. For concreteness, we focus o…
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]