Results 1 to 10 of about 14,741 (241)

Cordes nonlinear operators in Carnot groups

Electronic Journal of Differential Equations, 2015
Our aim is to obtain L^p estimates for the second-order horizontal derivatives of the solutions for a nondivergence form nonlinear equation in Carnot groups.
Giuseppe Di Fazio, Maria Stella Fanciullo   +1 more
doaj  

Rigidity of fiber-preserving quasisymmetric maps

, 2015
We show that fiber-preserving quasisymmetric maps are biLipschitz. As an application, we show that quasisymmetric maps on Carnot groups with reducible first stratum are ...
Donne, Enrico Le, Xie, Xiangdong
core   +1 more source

A density result on a BV-type space on Carnot groups

Bruno Pini Mathematical Analysis Seminar
In the setting of Carnot groups (connected, simply connected and stratified Lie groups), we prove a density result for a BV-type space previously introduced in [3].
Annalisa Baldi, Francescopaolo Montefalcone   +1 more
doaj   +1 more source

Uniqueness and comparison principles for semilinear equations and inequalities in Carnot groups

Advances in Nonlinear Analysis, 2018
Variants of the Kato inequality are proved for distributional solutions of semilinear equations and inequalities on Carnot groups. Various applications to uniqueness, comparison of solutions and Liouville theorems are presented.
D’Ambrosio Lorenzo, Mitidieri Enzo
doaj   +1 more source

Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups

Analysis and Geometry in Metric Spaces, 2013
In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca, Citti Giovanna, Manfredini Maria   +2 more
doaj   +1 more source

W2,p a priori estimates for nonvariational operators: the sharp maximal function technique

Bruno Pini Mathematical Analysis Seminar, 2018
We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
doaj   +1 more source

Metric currents, differentiable structures, and Carnot groups [PDF]

, 2011
We examine the theory of metric currents of Ambrosio and Kirchheim in the setting of spaces admitting differentiable structures in the sense of Cheeger and Keith.
Williams, Marshall
core   +1 more source

The Sard problem in step 2 and in filiform Carnot groups, [PDF]

, 2022
Francesco Boarotto, Luca Nalon, Davide Vittone   +2 more
openalex   +1 more source

Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results

, 2018
In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold with a distinguished filtration of subbundles of the tangent bundle which is ...
Choi, Woocheol, Ponge, Raphael
core   +1 more source

ODE trajectories as abnormal curves in Carnot groups [PDF]

, 2021
Eero Hakavuori
openalex   +1 more source