Results 121 to 130 of about 12,576,498 (281)
A universal heat semigroup characterisation of Sobolev and BV spaces in Carnot groups [PDF]
Nicola Garofalo, Giulio Tralli
openalex +1 more source
Lusin approximation for horizontal curves in step 2 Carnot groups [PDF]
Enrico Le Donne, Gareth Speight
openalex +1 more source
A note on lifting of Carnot groups
We prove that every homogeneous Carnot group can be lifted to a free homogeneous Carnot group. Though following the ideas of Rothschild and Stein, we give simple and self-contained arguments, providing a constructive proof, as shown in the examples.
BONFIGLIOLI, ANDREA, UGUZZONI, FRANCESCO
openaire +5 more sources
Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
doaj
Nonlinear elliptic equations on Carnot groups [PDF]
Massimiliano Ferrara +5 more
openalex +1 more source
Conformal maps of Carnot groups
If f is a conformal mapping defined on a connected open subset of a Carnot group G, then either f is the composition of a translation, a dilation and an isometry, or G is the nilpotent Iwasawa component of a real rank 1 simple Lie group S, and f arises from the action of S on G, viewed as an open subset of S/P, where P is a parabolic subgroup of G and ...
Cowling, MG, Ottazzi, A
openaire +5 more sources
Exceptional sets for self-similar fractals in Carnot groups [PDF]
Zoltán M. Balogh +3 more
openalex +1 more source
Rank-one theorem and subgraphs of BV functions in Carnot groups [PDF]
Sebastiano Don +2 more
openalex +1 more source
Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups
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

