3 papers
math.AP2024
A fundamental solution for a subelliptic operator in Finsler geometry
Federica Dragoni, Nicola Garofalo, Gianmarco Giovannardi +1
We introduce a class of nonlinear partial differential equations in a product space which are at the interface of Finsler and sub-Riemannian geometry. To such equations we associat…
math.AP2023
An Ahmad-Lazer-Paul-type result for indefinite mixed local-nonlocal problems
Gianmarco Giovannardi, Dimitri Mugnai, Eugenio Vecchi
We prove the existence and multiplicity of weak solutions for a mixed local-nonlocal problem at resonance. In particular, we consider a not necessarily positive operator which appe…
math.AP2023
The asymptotic -Poisson equation as in Carnot-Carathéodory spaces
Luca Capogna, Gianmarco Giovannardi, Andrea Pinamonti +1
In this paper we study the asymptotic behavior of solutions to the subelliptic -Poisson equation as in Carnot Carathéodory spaces. In particular, introducing a su…