Results 71 to 80 of about 18,321 (180)
First-order regularity of convex functions on Carnot Groups [PDF]
, 2018 We prove that h-convex functions on Carnot groups of step two are locally Lipschitz continuous with respect to any intrinsic metric. We show that an additional measurability condition implies the local Lipschitz continuity of h-convex functions on ...
Rickly, Matthieu
core
Differential forms in Carnot groups: a variational approach
Bruno Pini Mathematical Analysis Seminar, 2011 Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj
Nature Communications, 2020 Heart failure is a complex syndrome that is associated with many different underlying risk factors. Here, to increase power, the authors jointly analyse cases of heart failure of different aetiologies in a genome-wide association study and identify 11 ...
Sonia Shah +146 more
doaj +1 more source
Advanced Nonlinear StudiesOn general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj +1 more source
Double ball property: an overview and the case of step two Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2012 We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov ...
Giulio Tralli
doaj
A remark on quasiconformal mappings on Carnot groups.
Michigan Mathematical Journal, 1994 A. Koranyi and M. Reimann informed me that a result of theirs on the theory of quasiconformal mappings on the Heisenberg groups contradicted inequality (20.17) in my monograph [Strong rigidity of locally symmetric spaces, Ann. Math. Studies, No.
openaire +3 more sources
Journal of Inequalities and ApplicationsWe present a unified and concise method for establishing L p $L^{p}$ Hardy and Rellich inequalities for a broad class of subelliptic operators of divergence type.
Lorenzo D’Arca
doaj +1 more source
Comparison Principles for subelliptic equations of Monge-Ampere type
, 2008 We present two comparison principles for viscosity sub- and supersolutions of Monge-Ampere-type equations associated to a family of vector fields. In particular, we obtain the uniqueness of a viscosity solution to the Dirichlet problem for the equation ...
Bardi, Martino, Mannucci, Paola
core
A metric characterization of Carnot groups [PDF]
Proceedings of the American Mathematical Society, 2014 We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically homogeneous.
openaire +2 more sources