A C^k Lusin approximation theorem for real-valued functions on Carnot groups [PDF]
Indiana University Mathematics Journal, 2023 Marco Capolli +2 more
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Alt–Caffarelli–Friedman monotonicity formula and mean value properties in Carnot groups with applications [PDF]
Bollettino dell'Unione Matematica Italiana, 2023 In this paper, we provide a different approach to the Alt–Caffarelli–Friedman monotonicity formula, reducing the problem to test the monotone increasing behavior of the mean value of a function involving the gradient’s norm.
Fausto Ferrari, N. Forcillo
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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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α-Amination of 1,3-Dicarbonyl Compounds and Analogous Reactive Enolate-Precursors Using Ammonia under Oxidative Conditions. [PDF]
Angew Chem Int Ed EnglUsing ammonia in combination with hypochlorites as simple oxidants under phase‐transfer conditions allows for the direct oxidative α‐amination of reactive enolate precursors such as cyclic β‐ketoesters, oxindoles, as well as malonitriles and malonates with good to excellent yields.
Mairhofer C +6 more
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Thoracic Ultrasonography Findings and Their Association With Respiratory Pathogens in 221 Young Beef Cattle at Fattening Farms: A Cross-Sectional Study. [PDF]
J Vet Intern MedABSTRACT Background Thoracic ultrasonography (TUS) could improve antibiotic treatment selection in cattle with respiratory diseases. Hypothesis/Objectives Evaluate the association between respiratory pathogens and consolidations on TUS in feedlot cattle, at both individual and group levels. Animals A total of 221 bulls, aged 8.8 months and weighing 322.
Rouault M +3 more
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Identifying 1-rectifiable measures in Carnot groups
Analysis and Geometry in Metric Spaces, 2023 We continue to develop a program in geometric measure theory that seeks to identify how measures in a space interact with canonical families of sets in the space. In particular, extending a theorem of M. Badger and R.
Badger Matthew, Li Sean, Zimmerman Scott
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Copper-Catalyzed Regioselective Meta C─H Bond Olefination of Anilides. [PDF]
ChemistryA Copper‐catalyzed meta C─H olefination of pivanilides with β‐styrenyl and β‐alkyl‐alkenyl iodonium salts was achieved using a weakly coordinated directing group (DG). The involvement of a Heck‐like four‐membered transition state was plausibly critical in ensuring the challenging meta selectivity.
Rzayev J, Jubault P, Besset T.
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The Sard problem in step 2 and in filiform Carnot groups [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2022 . We study the Sard problem for the endpoint map in some well-known classes of Carnot groups. Our first main result deals with step 2 Carnot groups, where we provide lower bounds (depending only on the algebra of the group) on the codimension of the ...
Francesco Boarotto +2 more
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Notions of Convexity in Carnot Groups [PDF]
Communications in Analysis and Geometry, 2003 n ...
Duy Minh Nhieu +3 more
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Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2022 We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equations in divergence form with Hölder continuous coefficients.
D. Pallara, S. Polidoro
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