搜索结果: 1-6 共查到“理学 Carnot groups”相关记录6条 . 查询时间(0.074 秒)
Harnack inequality for fractional sub-Laplacians in Carnot groups
Carnot groups heat kernel fractional powers of sub-Laplacian Harnack inequality
2012/6/21
In this paper we prove an invariant Harnack inequality on Carnot-Carath\'eodory balls for fractional powers of sub-Laplacians in Carnot groups. The proof relies on an "abstract" formulation of a techn...
On critical cases of Sobolev's inequalities for Carnot groups
Carnot group Sobolev's inequality Brezis-Gallouet-Wainger inequality
2011/10/15
In this paper we deal with the problem of Sobolev imbedding in thecritical cases on Carnot groups. We prove some Trudinger-type inequalities on the whole Carnot group, extending to this context the Eu...
Two characterization of BV functions on Carnot groups via the heat semigroup
Functions of bounded variation perimeters Carnot groups Heat semigroup
2011/9/15
Abstract: In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces,...
Isoperimetric and Sobolev inequalities on hypersurfaces in sub-Riemannian Carnot groups
Carnot groups Sub-Riemannian Geometry Hypersurfaces Isoperimetric Inequality
2011/1/20
In this paper we shall study smooth submanifolds immersed in a k-step Carnot group G of homogeneous dimension Q. Our main result is an isoperimetric inequality for the case of a C2-smooth compact hype...
Horizontal Connection and Horizontal Mean Curvature in Carnot Groups
Carnot groups Nonholonomic connection Horizontal mean curvature Sub-Riemannian minimal surfaces
2007/12/13
In this paper we give a geometric interpretation of the notion of the horizontal mean curvature which is introduced by Danielli--Garofalo--Nhieu and Pauls who recently introduced sub-Riemannian minima...
Inequalities of Hadamard Type for r-Convex Functions in Carnot Groups
r-convex function extended mean values Carnot
2007/12/11
For a Carnot group G, we establish the relationshipbetween extended mean values and r-convex functions which isintroduced in this paper, which is a class of inequalities ofHadamard type for r-convex f...