Results 41 to 50 of about 1,589 (178)
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.
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Adherence to Treatment in Allergic Rhinitis During the Pollen Season in Europe: A MASK‐air Study
Clinical &Experimental Allergy, Volume 55, Issue 3, Page 226-238, March 2025.In a study assessing mobile health data, (i) adherence to rhinitis medication was highest for oral antihistamines and lowest for azelastine‐fluticasone, (ii) in weeks of partial adherence, azelastine‐fluticasone was associated with lower levels of reported rhinitis symptoms than other medication classes.
Bernardo Sousa‐Pinto +121 more
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Conformality and Q-harmonicity in Carnot groups
Duke Mathematical Journal, 2006 The main theorem of this paper is that 1-quasiconformal maps are smooth in all Carnot groups. This theorem can be used to prove rigidity theorems for quasiconformal maps between open subsets in certain classes of groups without any a priori smoothness assumption.
Capogna, Luca, Cowling, Michael
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New Phytologist, EarlyView.Summary Acclimation enables plants to adjust to immediate environmental fluctuations and is therefore key to the resilience of plant disease resistance in a time of climate change. Here, we report on the acclimation of Arabidopsis thaliana quantitative immune responses against the fungal pathogen Sclerotinia sclerotiorum to daily environmental ...
Marie Didelon +6 more
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Infinite-Dimensional Carnot Groups and Gâteaux Differentiability
The Journal of Geometric Analysis, 2019 The article under review contributes to research based around Rademacher's theorem, which states that a Lipschitz mapping between two Euclidean spaces is differentiable almost everywhere with respect to the Lebesgue measure. More specifically, the article joins a flourishing branch of research which has the broad aim of extending Rademacher's theorem ...
Le Donne E., Li S., Moisala T.
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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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Advanced Materials, Volume 38, Issue 15, 12 March 2026.This review highlights the impact of the polymers at the molecular‐, micro‐, and macro‐scale engineering. Particular emphasis is placed on their roles at different scales to provide an in‐depth understanding of performance improvement. In addition, current challenges and potential research approaches are discussed, outlining directions for the future ...
Sungryong Kim +3 more
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c horizontal convexity on Carnot groups
, 2010 Given a real-valued function $c$ defined on the cartesian product of a generic Carnot group $\G$ and the first layer $V_1$ of its Lie algebra, we introduce a notion of $c$ horizontal convex ($c$ H-convex) function on $\G$ as the supremum of a suitable family of affine functions; this family is defined pointwisely, and depends strictly on the horizontal
CALOGERO, ANDREA GIOVANNI, PINI, RITA
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Cordes nonlinear operators in Carnot groups
Electronic Journal of Differential Equations, 2015 Our aim is to obtain L^p estimates for the second-order horizontal derivatives of the solutions for a nondivergence form nonlinear equation in Carnot groups.
Giuseppe Di Fazio +1 more
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