Results 101 to 110 of about 14,687 (238)
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
Existence of infinitely many solutions for critical sub-elliptic systems via genus theory
Communications in Analysis and MechanicsWe are devoted to the study of the following sub-Laplacian system with Hardy-type potentials and critical nonlinearities $ \begin{equation*} \left\{\begin{aligned} -\Delta_{\mathbb{G}}u-\mu_{1}\frac{\psi^{2}u}{\text{d}(z)^{2}} = \lambda_{1}\frac{\psi^{
Hongying Jiao, Shuhai Zhu , Jinguo Zhang
doaj +1 more source
Morrey–Campanato functional spaces for Carnot groups
Banach Journal of Mathematical AnalysisAbstract We shortly review the historical path of Morrey–Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey–Campanato spaces in the framework of Carnot groups.
Nicolò Cangiotti, Marco Capolli
openaire +2 more sources
Chaotic Geodesics in Carnot Groups
, 1997 The group of real 4 by 4 upper triangular matrices with 1s on the diagonal has a left-invariant subRiemannian (or Carnot-Caratheodory) structure whose underlying distribution corresponds to the superdiagonal. We prove that the associated subRiemannian geodesic flow is not completely integrable.
Montgomery, R., Shapiro, M., Stolin, A.
openaire +2 more sources
Lusin approximation for horizontal curves in step 2 Carnot groups [PDF]
, 2016 Enrico Le Donne, Gareth Speight
openalex +1 more source
The Carnot-Carathéodory distance on $2$-step groups [PDF]
, 2021 Hong-Quan Li
openalex +1 more source
On the Cheng-Yau gradient estimate for Carnot groups and sub-Riemannian manifolds [PDF]
, 2018 Fabrice Baudoin +2 more
openalex +3 more sources
Systolic Inequalities for Compact Quotients of Carnot Groups with Popp's Volume [PDF]
, 2022 Kenshiro Tashiro
openalex +1 more source
Conformal and CR mappings on Carnot groups
, 2018 We consider a class of stratified groups with a CR structure and a compatible control distance. For these Lie groups we show that the space of conformal maps coincide with the space of CR and anti-CR diffeomorphisms.
Cowling, Michael G. +3 more
core