Results 91 to 100 of about 14,114 (194)

High Order Fefferman-Phong Type Inequalities in Carnot Groups and Regularity for Degenerate Elliptic Operators plus a Potential

Abstract and Applied Analysis, 2014
Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
doaj   +1 more source

Multiscale phytoplankton dynamics in a coastal system of the eastern English Channel: the Boulogne-sur-Mer coastal area [PDF]

Ocean Science
To study changes in phytoplankton community composition on different timescales, an automated flow cytometer (CytoSub, CytoBuoy b.v.) was deployed at the MAREL Carnot automated monitoring station in Boulogne-sur-Mer (eastern English Channel, France ...
K. Robache, Z. Hubert, C. Gallot, C. Gallot, A. Epinoux, A. P. Louchart, A. P. Louchart, J.-V. Facq, A. Lefebvre, M. Répécaud, V. Cornille, F. Verhaeghe, Y. Audinet, L. Brutier, F. G. Schmitt, L. F. Artigas   +15 more
doaj   +1 more source

Multicomplexes on Carnot Groups and Their Associated Spectral Sequence. [PDF]

J Geom Anal, 2023
Lerario A, Tripaldi F.
europepmc   +1 more source

Schrödinger–Hardy system without the Ambrosetti–Rabinowitz condition on Carnot groups

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study the following Schrödinger–Hardy system \begin{equation*} \begin{cases} -\Delta_{\mathbb{G}}u-\mu\frac{\psi^2}{r(\xi)^2}u=F_u(\xi,u,v)\ &{\rm in}\ \Omega, \\ -\Delta_{\mathbb{G}}v-\nu\frac{\psi^2 }{r(\xi)^2}v=F_v(\xi,u,v)\
Wenjing Chen, Fang Yu
doaj   +1 more source

On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]

J Geom Anal, 2022
Antonelli G, Merlo A.
europepmc   +1 more source

Multiple solutions for possibly degenerate equations in divergence form

Electronic Journal of Differential Equations, 2016
Via variational methods, we establish the existence of at least two distinct weak solutions for the Dirichlet problem associated to a possibly degenerate equation in divergence form.
Andrea Pinamonti
doaj  

Morrey–Campanato functional spaces for Carnot groups

Banach Journal of Mathematical Analysis
Abstract 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

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
doaj  

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

Advanced Nonlinear Studies
On 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