Results 61 to 70 of about 3,104 (212)
Carnot rectifiability and Alberti representations
A metric measure space is said to be Carnot-rectifiable if it can be covered up to a null set by countably many bi-Lipschitz images of compact sets of a fixed Carnot group. In this paper, we give several characterisations of such notion of rectifiability
Merlo, A., Antonelli, G., Le Donne, E.
core +2 more sources
A proof of Hörmander’s theorem for sublaplacians on Carnot groups [PDF]
Nonlinear Analysis, 2015 Let \(G\) be a Carnot group and let \(\mathcal{L}\) be its left-invariant sub-Laplacian. As a consequence of Hörmander's theorem, \(\mathcal{L}\) is hypoelliptic, that is, for every distribution \(u\) on \(G\), if \(\mathcal{L}u \in C^\infty\), then \(u \in C^\infty\).
Bramanti, Marco, Brandolini, Luca
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ChemCatChem, Volume 18, Issue 11, 15 June 2026.This review explores the synthesis and catalytic applications of CuNPs/nanocarbon nanocomposites for CO2 hydrogenation to methanol and biomass upgrading, emphasizing support functionalization, deposition methods, and the role of nanocarbons in enhancing stability, selectivity, and sustainability.
Anh Ngoc Thai +3 more
wiley +1 more source
Yamabe-Type Equations on Carnot Groups
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. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain $D$ of the {Heisenberg group}
Molica Bisci G, Repovs D
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Epilepsia, Volume 67, Issue 6, Page 2808-2819, June 2026.Abstract Objective Inclusion and exclusion criteria of clinical trials for seizures aim to select representative participants with a high enough seizure frequency to evaluate the efficacy of treatment in a relatively short double‐blind period. To inform the selection of seizure frequency‐based inclusion criteria, we evaluated the association between ...
Wesley T. Kerr +5 more
wiley +1 more source
W2,p a priori estimates for nonvariational operators: the sharp maximal function technique
Bruno Pini Mathematical Analysis Seminar, 2018 We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
doaj +1 more source
Rankine Carnot Batteries with the Integration of Thermal Energy Sources: A Review
Energies, 2020 This paper provides an overview of a novel electric energy storage technology. The Thermally Integrated Pumped Thermal Electricity Storage (TI-PTES) stores electric energy as thermal exergy.
Guido Francesco Frate +2 more
doaj +1 more source
Lusin approximation for horizontal curves in step 2 Carnot groups [PDF]
, 2016 A Carnot group G admits Lusin approximation for horizontal curves if for any absolutely continuous horizontal curve γ in G and ε> 0 , there is a C1horizontal curve Γ such that Γ = γ and Γ′= γ′outside a set of measure at most ε.
Enrico Le Donne +3 more
core +1 more source
Space of signatures as inverse limits of Carnot groups
, 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
Abstract and Applied Analysis, 2014 Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
doaj +1 more source