Results 51 to 60 of about 964 (155)
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Analysis and Geometry in Metric SpacesIn this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
doaj +1 more source
Functional properties of limits of Sobolev homeomorphisms with integrable distortion
Современная математика: Фундаментальные направленияThe functional and geometric properties of limits of homeomorphisms with integrable distortion of domains in Carnot groups are studied. The homeomorphisms belong to Sobolev classes.
S. K. Vodopyanov, S. V. Pavlov
doaj +1 more source
Integral Representation of Local Left–Invariant Functionals in Carnot Groups
Analysis and Geometry in Metric Spaces, 2019 The aim of this note is to prove a representation theorem for left–invariant functionals in Carnot groups. As a direct consequence, we can also provide a Г-convergence result for a smaller class of functionals.
Maione A., Vecchi E.
doaj +1 more source
Almost uniform domains and Poincaré inequalities
Transactions of the London Mathematical Society, 2021 Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure.
Sylvester Eriksson‐Bique, Jasun Gong
doaj +1 more source
Are West African Heat‐Lows Analogous to Dry Tropical Cyclones?
International Journal of Climatology, Volume 46, Issue 8, 30 June 2026.Heat‐lows qualitatively resemble dry tropical cyclones (TCs), though their underlying physics has yet to be compared. In this study, we show that West African transient heat‐low climatology correlates well with TC potential intensity generalised over land.
Aaron Kruskie +2 more
wiley +1 more source
Bioconjugation Strategies for Revealing the Roles of Glycerophospholipids in Cells
ChemBioChem, Volume 27, Issue 11, 15 June 2026.Glycerophospholipids are the main class of phospholipids, essential for membrane structure, compartmentalization, and cellular signaling. To study their roles, innovative probes and advanced bioconjugation strategies have been developed, including by de novo lipid synthesis and bioorthogonal conjugation chemistry.
Brice Beauvais +5 more
wiley +1 more source
Intrinsic Lipschitz Graphs Within Carnot Groups [PDF]
, 2016 A Carnot group is a connected, simply connected, nilpotent Lie group with stratified Lie algebra. We study the notions of intrinsic graphs and of intrinsic Lipschitz graphs within Carnot groups.
Serapioni, Raul Paolo, FRANCHI, BRUNO
core +1 more source
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
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
openaire +1 more source
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