Results 101 to 110 of about 14,741 (241)
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
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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.
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Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2010 Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.
Francesco Paolo Montefalcone
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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
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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
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Universal differentiability sets and maximal directional derivatives in Carnot groups [PDF]
, 2017 Enrico Le Donne +2 more
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Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups [PDF]
, 2020 Alessandro Carbotti +3 more
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Removable sets for homogeneous linear PDE in Carnot groups [PDF]
, 2013 Vasilis Chousionis, Jeremy T. Tyson
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Higher order Boundary Schauder Estimates in Carnot Groups [PDF]
, 2022 Agnid Banerjee +2 more
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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
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