Results 11 to 20 of about 14,219 (239)
Analysis and Geometry in Metric Spaces, 2018 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
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Viscosity convex functions on Carnot groups [PDF]
Proceedings of the American Mathematical Society, 2004 We prove that any upper semicontinuous v-convex function in any Carnot group is h-convex.
Changyou Wang
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Exceptional families of measures on Carnot groups
Analysis and Geometry in Metric Spaces, 2023 We study the families of measures on Carnot groups that have vanishing pp-module, which we call Mp{M}_{p}-exceptional families. We found necessary and sufficient Conditions for the family of intrinsic Lipschitz surfaces passing through a common point to ...
Franchi Bruno, Markina Irina
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Measure contraction properties of Carnot groups [PDF]
Calculus of Variations and Partial Differential Equations, 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
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A notion of rectifiability modeled on Carnot groups [PDF]
Indiana University Mathematics Journal, 2004 27 ...
Scott D. Pauls
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Approximations of Sobolev norms in Carnot groups [PDF]
Communications in Contemporary Mathematics, 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
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Yamabe-type equations on Carnot groups [PDF]
Potential Analysis, 2016 This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Bisci, Giovanni Molica +1 more
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Conformal and CR mappings on Carnot groups [PDF]
Proceedings of the American Mathematical Society, Series B, 2018 We consider a class of stratified groups with a CR structure and a compatible control distance. For these Lie groups we show that the space of conformal maps coincide with the space of CR and anti-CR diffeomorphisms.
Cowling, Michael G. +3 more
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Hausdorff measure of the singular set of quasiregular maps on Carnot groups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 Irina Markina
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On the ∞-Laplacian on Carnot Groups
Journal of Mathematical Sciences, 2022 We prove Lipschitz estimates for viscosity solutions to Poisson problem for the infinity Laplacian in general Carnot groups.
Fausto Ferrari +2 more
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