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math.AP2026
Lipschitz regularity for solutions to an orthotropic -Laplacian-type equation in the Heisenberg group
Michele Circelli, Giovanna Citti, Albert Clop
We establish the local Lipschitz regularity for solutions to an orthotropic q-Laplacian-type equation within the Heisenberg group. Our approach is largely inspired by the works of…
math.AP2024
Horizontal mean curvature flow as a scaling limit of a mean field equation in the Heisenberg group
Giovanna Citti, Nicolas Dirr, Federica Dragoni +1
We derive curvature flows in the Heisenberg group by formal asymptotic expansion of a nonlocal mean-field equation under the anisotropic rescaling of the Heisenberg group. This is…
math.AP2024
A representation formula for regular functions on the characteristic plane of the second Heisenberg group
Annalisa Baldi, Giovanna Citti, Giovanni Cupini
The aim of this paper is to study a Laplace-type operator and its fundamental solution on the characteristic plane in the Heisenberg group . We introduce a conformal…