Results 51 to 60 of about 14,114 (194)
Two characterization of BV functions on Carnot groups via the heat semigroup
In this paper we provide two different characterizations of sets with finite perimeter and functions of bounded variation in Carnot groups, analogous to those which hold in Euclidean spaces, in terms of the short-time behaviour of the heat semigroup. The
Bramanti, Marco +2 more
core +1 more source
Starshapedeness for fully-nonlinear equations in Carnot groups [PDF]
In this paper we establish the starshapedness of the level sets of the capacitary potential of a large class of fully-nonlinear equations for condensers in Carnot groups, once a natural notion of starshapedness has been introduced.
Dragoni, Federica +2 more
core +4 more sources
Are West African Heat‐Lows Analogous to Dry Tropical Cyclones?
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
Validation of the Milan Score Using Prolonged Wireless PH Monitoring
The Milan Score, a high‐resolution manometry‐derived tool, predicts pathological GERD on 96‐h wireless pH monitoring with high specificity and positive predictive value, maintaining robust discriminative performance across both typical and atypical symptom profiles and outperforming single HRM parameters as a standalone manometric parameter.
Stefano Siboni +8 more
wiley +1 more source
Rectifiability in Carnot Groups
This thesis is devoted to the study of the theory of rectifiability of sets and measures in the non smooth context of Carnot groups. The focus is on the study of the notion of P-rectifiability and its relation with other notions of rectifiability in Carnot groups.
openaire +2 more sources
Anomeric Amides: Valuable Reagents in Synthetic Organic Chemistry
Enabling late‐stage transformations and skeletal editing, anomeric amides have recently emerged as powerful synthetic tools. Due to their unique properties, anomeric amides have been employed in reactions ranging from amination to halogenation. This minireview provides an overview of recent progress in using anomeric amides across a variety of ...
Arushi Garg +3 more
wiley +2 more sources
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
In 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
The 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
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
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

