Results 11 to 20 of about 5,405,878 (192)
Convex functions on Carnot groups
Revista Matemática Iberoamericana, 2007 We consider the definition and regularity properties of convex functions in Carnot groups. We show that various notions of convexity in the subelliptic setting that have appeared in the literature are equivalent. Our point of view is based on thinking of convex functions as subsolutions of homogeneous elliptic equations.
P. JUUTINEN +3 more
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Rectifiability in Carnot Groups [PDF]
, 2022 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.
ANTONELLI, GIOACCHINO
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Positioning Incretin-Based and Next-Generation Obesity Management Medications: A Methodological Framework for a Series of Systematic Reviews and Network Meta-Analyses. [PDF]
Diabetes Obes MetabABSTRACT Background The obesity pharmacotherapy landscape is evolving rapidly, with several approved incretin‐based therapies and an expanding pipeline of investigational compounds targeting multiple metabolic pathways. Conventional evidence syntheses often struggle to accommodate differences in dose selection, treatment duration and stage of clinical ...
Monami M, Ragghianti B, Mannucci E.
europepmc +2 more sources
3D ex vivo platform for high-throughput immunotherapy screening in relapsed/refractory lymphoma patients. [PDF]
HemasphereAbstract Relapsed/refractory (R/R) B‐cell lymphomas (B‐NHL) remain incurable, with limited predictive biomarkers to guide immunotherapy. Preclinical platforms that faithfully preserve the immune context and the viability of patient samples are critically needed for relevant high‐throughput drug testing.
Gava F +20 more
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Conformality and Q-harmonicity in Carnot groups [PDF]
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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Nonexistence Results for Semilinear Equations in Carnot Groups
Analysis and Geometry in Metric Spaces, 2013 In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
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Infinite-Dimensional Carnot Groups and Gâteaux Differentiability [PDF]
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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Morrey–Campanato functional spaces for Carnot groups [PDF]
Banach Journal of Mathematical AnalysisAbstract We shortly review the historical path of Morrey–Campanato functional spaces and the fundamentals of Carnot groups. Then, we merge these two topics, by recovering several classical results concerning regularity of Morrey–Campanato spaces in the framework of Carnot groups.
Nicolò Cangiotti, Marco Capolli
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Local minimizers and gamma-convergence for nonlocal perimeters in Carnot groups [PDF]
, 2021 We prove the local minimality of halfspaces in Carnot groups for a class of nonlocal functionals usually addressed as nonlocal perimeters. Moreover, in a class of Carnot groups in which the De Giorgi’s rectifiability Theorem holds, we provide a lower ...
Carbotti, Alessandro +3 more
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On the ∞-Laplacian on Carnot Groups
Journal of Mathematical Sciences, 2022 We prove Lipschitz estimates for viscosity solutions to Poisson problem for the infinity Laplacian in general Carnot groups.
Fausto Ferrari +2 more
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