22 citations · 80 across the 66 of their papers we have counts for
6 papers · 2 filters
Strict starshapedness of solutions to the horizontal p-laplacian in the Heisenberg group
Mattia Fogagnolo, Andrea Pinamonti
We examine the geometry of the level sets of particular horizontally -harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the l…
Lipschitz minimizers for a class of integral functionals under the bounded slope condition
Sebastiano Don, Luca Lussardi, Andrea Pinamonti +1
We consider the functional where is convex and and we study the minimizers in of the as…
Existence and multiplicity results for Kirchhoff type problems on a double phase setting
Alessio Fiscella, Andrea Pinamonti
In this paper, we study two classes of Kirchhoff type problems set on a double phase framework. That is, the functional space where finding solutions coincides with the Musielak-Or…
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…
Function Spaces via Fractional Poisson Kernel on Carnot Groups and Applications
Ali Maalaoui, Andrea Pinamonti, Gareth Speight
We provide a new characterization of homogeneous Besov and Sobolev spaces in Carnot groups using the fractional heat kernel and Poisson kernel. We apply our results to study commut…
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…