Results 81 to 90 of about 14,114 (194)
Sublinear bilipschitz equivalence and the quasiisometric classification of solvable Lie groups
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We prove a product theorem for sublinear bilipschitz equivalences which generalizes the classical work of Kapovich, Kleiner, and Leeb on quasiisometries between product spaces. We employ our product theorem to distinguish up to quasiisometry certain families of solvable groups which share the same dimension, cone‐dimension and Dehn function ...
Ido Grayevsky, Gabriel Pallier
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Electro‐Mediated Redox Functionalization of Conjugated 1,3‐Dienes
Advanced Synthesis &Catalysis, Volume 368, Issue 6, 17 March 2026.This review aims at providing a comprehensive view of the emerging field of electro‐mediated functionalization of conjugated 1,3‐dienes, highlighting key developments, mechanistic insights, and remaining challenges. It highlights the efficient use of electron as the sole reagent to access highly substituted allylic compounds from simple and readily ...
Ophélie Montiège +3 more
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Quasilinear elliptic equations with critical potentials
Advances in Nonlinear Analysis, 2017 We study Liouville theorems for problems of the ...
D’Ambrosio Lorenzo, Mitidieri Enzo
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Constructing Hölder maps to Carnot groups
Journal of the American Mathematical SocietyIn this paper, we construct Hölder maps to Carnot groups equipped with a Carnot metric, especially the first Heisenberg group H \mathbb {H} . Pansu and Gromov [Carnot-Carathéodory spaces seen from within, Birkhäuser, Basel, 1996] observed that any surface embedded in H \mathbb {H} has Hausdorff
Wenger, Stefan, Young, Robert
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Conformal maps of Carnot groups
Annales Academiae Scientiarum Fennicae Mathematica, 2015 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
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Boundary Value Problems, 2017 We consider nonlinear sub-elliptic systems with Dini continuous coefficients for the case 1 < m < 2 $1 ...
Dongni Liao +3 more
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Lipschitz extensions into Jet space Carnot groups [PDF]
, 2009 The aim of this article is to prove a Lipschitz extension theorem for partially defined Lipschitz maps to jet spaces endowed with a left-invariant sub-Riemannian Carnot-Carath\'eodory distance.
Wenger, Stefan, Young, Robert
core
Encoding Magnetic Anisotropies in Digital Light Processing 3D Printing
Advanced Functional Materials, Volume 36, Issue 26, 30 March 2026.A hybrid magnetic device—combining a coaxial coil within a nested Halbach array—is presented, integrated into a DLP 3D printer to enable spatially resolved magnetic field control. This system enables complex, multimodal responses by programming liquid crystal elastomer resins for magnetic and thermal actuation, and by inducing electrically conductive ...
Eléonore Aïdonidis +11 more
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Stability Theorems for H-Type Carnot Groups
The Journal of Geometric Analysis, 2023 We introduce the H-type deviation $δ({\mathbb G})$ of a step two Carnot group ${\mathbb G}$, which measures the deviation of the group from the class of Heisenberg-type groups. We show that $δ({\mathbb G})=0$ if and only if ${\mathbb G}$ carries a vertical metric which endows it with the structure of an H-type group. We compute the H-type deviation for
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Differential forms in Carnot groups: a variational approach
Bruno Pini Mathematical Analysis Seminar, 2011 Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
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