38 citations · 229 across the 52 of their papers we have counts for
27 papers · 1 filter
Internal Schauder estimates for Hörmander type equations with Dini continuous source
Giovanna Citti, Bianca Stroffolini
We study the regularity properties of a general second order Hörmander operator with Dini continous coefficients . Precisely if are smooth self adjoin…
Hölder regularity for weak solutions of Hörmander type operators
G. Citti, M. Mandredini, Y. Sire
Motivated by recent results on the (possibly conditional) regularity for time-dependent hypoelliptic equations, we prove a parabolic version of the Poincaré inequality, and as a co…
Regularity theory of quasilinear elliptic and parabolic equations in the Heisenberg group
Luca Capogna, Giovanna Citti, Xiao Zhong
This note provides a succinct survey of the existing literature concerning the Hölder regularity for the gradient of weak solutions of PDEs of the form $$\sum_{i=1}^{2n} X_i A_i(\n…
The cortical V1 transform as a heterogeneous Poisson problem
Alessandro Sarti, Mattia Galeotti, Giovanna Citti
Receptive profiles of V1 cortical cells are very heterogeneous and act by differentiating the stimulus image as operators changing from point to point. A lightness and color consta…
Regularity of quasi-linear equations with Hörmander vector fields of step two
Giovanna Citti, Shirsho Mukherjee
If the smooth vector fields and their commutators span the tangent space at every point in for any fixed , then we establish the…
Lipschitz regularity for solutions of the parabolic -Laplacian in the Heisenberg group
Luca Capogna, Giovanna Citti, Xiao Zhong
We prove local Lipschitz regularity for weak solutions to a class of degenerate parabolic PDEs modeled on the parabolic -Laplacian $$\p_t u= \sum_{i=1}^{2n} X_i (|\nabla_0 u|^{p…