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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.AP2025
A continuous model of transportation in the Heisenberg group
Michele Circelli, Albert Clop
We present a minimization problem with a horizontal divergence-type constraint in the Heisenberg group. Our study explores its dual formulation and examines its relationship with t…
math.AP2025
Gradient estimates for an orthotropic nonlinear diffusion equation in the Heisenberg group
Michele Circelli
We prove local Lipschitz regularity for weak solutions to a parabolic orthotropic -Laplacian-type equation in the Heisenberg group $\Hn$, for the range .