Results 31 to 40 of about 5,405,878 (192)
Hilbert-Haar coordinates and Miranda's theorem in Lie groups
Bruno Pini Mathematical Analysis Seminar, 2020 We study the interior regularity of solutions to a class of quasilinear equations of non-degenerate p-Laplacian type on Lie groups that admit a system of Hilbert-Haar coordinates. These are coordinates with respect to which every linear function has zero
András Domokos, Juan J. Manfredi
doaj +1 more source
Sub-Riemannian vs. Euclidean dimension comparison and fractal geometry on Carnot groups [PDF]
, 2009 We solve Gromov's dimension comparison problem for Hausdorff and box counting dimension on Carnot groups equipped with a Carnot–Carathéodory metric and an adapted Euclidean metric.
Warhurst, Ben +3 more
core +1 more source
Isoperimetric Inequalities in Carnot Groups [PDF]
, 2012 The isoperimetric problem is a very classical problem whose history dates back to more than two thousand years ago. Roughly speaking, the isoperimetric problem is to determine the largest possible area enclosed by a closed curve which has a specified ...
Liming Wang (114648)
core +6 more sources
Algebraic prolongation and rigidity of Carnot groups [PDF]
, 2011 We discuss the known results on rigidity of Carnot groups using Tanaka’s prolongation theory. We also apply Tanaka’s theory to study rigidity of an extended class of H-type groups which we call J-type groups.
Warhurst, Ben, Ottazzi, Alessandro
core +2 more sources
Ricci curvature in Carnot groups [PDF]
, 2013 International audienceWe study metric contraction properties for metric spaces associated with left- invariant sub-Riemannian metrics on Carnot groups.
Rifford, Ludovic
core +3 more sources
Subelliptic and parametric equations on Carnot groups [PDF]
Proceedings of the American Mathematical Society, 2015 This article concerns a class of elliptic equations on Carnot groups depending on one real parameter. Our approach is based on variational methods. More precisely, we establish the existence of at least two weak solutions for the treated problem by using a direct consequence of the celebrated Pucci-Serrin theorem and of a local minimum result for ...
Molica Bisci G, Ferrara M
openaire +5 more sources
Space of signatures as inverse limits of Carnot groups [PDF]
, 2021 We formalize the notion of limit of an inverse system of metric spaces with 1-Lipschitz projections having unbounded fibers. The construction is applied to the sequence of free Carnot groups of fixed rank n and increasing step.
Roger Züst +3 more
core +1 more source
Jacobian determinant inequality on corank 1 Carnot groups with applications [PDF]
, 2019 We establish a weighted pointwise Jacobian determinant inequality on corank 1 Carnot groups related to optimal mass transportation akin to the work of Cordero-Erausquin, McCann and Schmuckenschläger.
Kristály, Alexandru +2 more
core +3 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
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