Results 101 to 110 of about 5,405,878 (192)

A unified approach to L p $L^{p}$ Hardy and Rellich-type inequalities in Euclidean and non-Euclidean settings

Journal of Inequalities and Applications
We present a unified and concise method for establishing L p $L^{p}$ Hardy and Rellich inequalities for a broad class of subelliptic operators of divergence type.
Lorenzo D’Arca
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Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups

Electronic Journal of Differential Equations, 2016
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
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Discours du citoyen Carnot

Bound with: Discours du citoyen Carion-Nisas, faisant suite à celui du citoyen Carnot / Henri-François Carrion de Nisas. Paris : Rochette, [1804?
Carnot, Lazare, 1753-1823
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Classes of nonrigid carnot groups

, 2012
The main purpose of this paper is to provide examples of nonrigid Carnot groups that do not appear in the literature. We use a condition in a previous article in order to construct such examples.
Tuan Norhafizah binti Tuan Zakaria
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Jet spaces on Carnot groups

, 2023
Jet spaces on $\mathbb R^n$ have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups adapted to horizontal differentiation and show that these jet spaces are ...
Golo, Sebastiano Nicolussi, Warhurst, Benjamin   +1 more
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Metric quasiconformality and Sobolev regularity in non-Ahlfors regular spaces

Analysis and Geometry in Metric Spaces
Given a homeomorphism f:X→Yf:X\to Y between QQ-dimensional spaces X,YX,Y, we show that ff satisfying the metric definition of quasiconformality outside suitable exceptional sets implies that ff belongs to the Sobolev class Nloc1,p(X;Y){N}_{{\rm{loc}}}^{1,
Lahti Panu, Zhou Xiaodan
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Exceptional sets for self-similar fractals in Carnot groups.

, 2010
We consider self-similar iterated function systems in the sub-Rieman- nian setting of Carnot groups. We estimate the Hausdorff dimension of the exceptional set of translation parameters for which the Hausdorff dimension in terms ofthe Carnot-Carath ...
BALOGH Z., MONTI, ROBERTO, BERGER R., TYSON J.   +3 more
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The regularity problem for sub-Riemannian geodesics

reservedThe first section of this thesis aims to illustrate the regularity problem for geodesics in sub-Riemannian manifolds, which can be intended as metric spaces when endowed with the Carnot-Caratheodory if Hörmander's condition holds for the ...
BAGLIONI, GIORGIO
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cohomology of Carnot groups

, 2018
International audienceWe study the simplicial ℓ q,p cohomology of Carnot groups G. We show vanishing and non-vanishing results depending of the range of the (p, q) gap with respect to the weight gaps in the Lie algebra cohomology of ...
Pierre Pansu, Michel Rumin, Pansu, Pierre, Rumin, Michel   +3 more
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Docetaxel-titanate nanotubes enhance radiosensitivity in an androgen-independent prostate cancer model

International Journal of Nanomedicine, 2017
Céline Mirjolet,1 Julien Boudon,2 Alexis Loiseau,2 Sandy Chevrier,1 Romain Boidot,1 Alexandra Oudot,3 Bertrand Collin,3 Etienne Martin,1 Pattayil Alias Joy,4 Nadine Millot,2 Gilles Créhange1 1Department of Radiation Oncology, Center ...
C Mirjolet, Boudon J, Loiseau A, Chevrier S, Boidot R, Oudot A, Collin B, Martin E, Joy PA, Millot N, Créhange G   +10 more
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