Results 31 to 40 of about 12,503,673 (230)
Measure contraction properties of Carnot groups [PDF]
, 2016 We prove that any corank 1 Carnot group of dimension $k+1$ equipped with a left-invariant measure satisfies the $\mathrm{MCP}(K,N)$ if and only if $K \leq 0$ and $N \geq k+3$.
Rizzi, Luca
core +5 more sources
Regularity for quasilinear PDEs in Carnot groups via Riemannian approximation
Bruno Pini Mathematical Analysis Seminar, 2020 We study the interior regularity of weak solutions to subelliptic quasilinear PDEs in Carnot groups of the formΣi=1m1Xi (Φ(|∇Hu|2)Xiu) = 0. Here ∇Hu = (X1u,...,Xmiu) is the horizontal gradient, δ > 0 and the exponent p ∈ [2, p*), where p* depends on ...
András Domokos, Juan J. Manfredi
doaj +1 more source
Harnessing Colloidal Dispersion for Laccase‐Driven Enzymatic Depolymerization of Polystyrene
Angewandte Chemie, EarlyView.Polystyrene (PS), long considered non‐degradable by biocatalytic pathways, can now be broken down under aqueous conditions using atmospheric air and a laccase–mediator system composed of a commercially available fungal enzyme and 1‐hydroxybenzotriazole as small organic mediator.
Manon Pujol +5 more
wiley +2 more sources
Analysis and Geometry in Metric Spaces, 2014 A Carnot group G is a connected, simply connected, nilpotent Lie group with stratified Lie algebra.We study intrinsic Lipschitz graphs and intrinsic differentiable graphs within Carnot groups.
Franchi Bruno +2 more
doaj +1 more source
On criticality coupled sub-Laplacian systems with Hardy type potentials on Stratified Lie groups
Communications in Analysis and Mechanics, 2023 In this work, our main concern is to study the existence and multiplicity of solutions for the following sub-elliptic system with Hardy type potentials and multiple critical exponents on Carnot group $ \begin{equation*} \left\{\begin{aligned} & ...
Jinguo Zhang , Shuhai Zhu
doaj +1 more source
Approximations of Sobolev norms in Carnot groups [PDF]
, 2010 This paper deals with a notion of Sobolev space $W^{1,p}$ introduced by J.Bourgain, H.Brezis and P.Mironescu by means of a seminorm involving local averages of finite differences. This seminorm was subsequently used by A.Ponce to obtain a Poincar\'e-type
Adams R. +14 more
core +1 more source
Pliability, or the whitney extension theorem for curves in carnot groups [PDF]
, 2016 The Whitney extension theorem is a classical result in analysis giving a necessary and sufficient condition for a function defined on a closed set to be extendable to the whole space with a given class of regularity.
Juillet, Nicolas, Sigalotti, Mario
core +5 more sources
On the codimension of the abnormal set in step two Carnot groups [PDF]
, 2018 In this article we prove that the codimension of the abnormal set of the endpoint map for certain classes of Carnot groups of step 2 is at least three.
Ottazzi, Alessandro, Vittone, Davide
core +2 more sources
Intrinsic regular surfaces in Carnot groups
Bruno Pini Mathematical Analysis SeminarA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
doaj +1 more source
Sard Property for the endpoint map on some Carnot groups [PDF]
, 2015 In Carnot-Caratheodory or sub-Riemannian geometry, one of the major open problems is whether the conclusions of Sard's theorem holds for the endpoint map, a canonical map from an infinite-dimensional path space to the underlying finite-dimensional ...
Donne, Enrico Le +4 more
core +3 more sources