Results 101 to 110 of about 3,104 (212)
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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Journal of Inequalities and ApplicationsWe present a unified and concise method for establishing L p $L^{p}$ Hardy and Rellich inequalities for a broad class of subelliptic operators of divergence type.
Lorenzo D’Arca
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Measure contraction properties of Carnot groups
, 2016 International audienceWe prove that any corank 1 Carnot group of dimension k + 1 equipped with a left-invariant measure satisfies the MCP(K, N) if and only if K ≤ 0 and N ≥ k + 3. This generalizes the well known result by Juillet for the Heisenberg group
Rizzi, L., Rizzi, Luca
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Local Monotonicity and Isoperimetric Inequality on Hypersurfaces in Carnot groups
Bruno Pini Mathematical Analysis Seminar, 2010 Let G be a k-step Carnot group of homogeneous dimension Q. Later on we shall present some of the results recently obtained in [32] and, in particular, an intrinsic isoperimetric inequality for a C2-smooth compact hypersurface S with boundary @S.
Francesco Paolo Montefalcone
doaj
Optimizing a machine learning design of dielectric properties in lead-free piezoelectric ceramics
Materials & DesignDesigning lead-free piezoelectric ceramics with tailored electrical properties remains a critical challenge for various applications. In this paper we present a novel methodology integrating Machine Learning (ML) and optimization procedures to fine-tune ...
Helder R.O. Rocha +6 more
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Geometric inequalities in Carnot groups
, 2012 Let G be a sub-Riemannian k-step Carnot group of homogeneous dimension Q. In this paper, we shall prove several geometric inequalities concerning smooth hypersurfaces (i.e.
MONTEFALCONE, FRANCESCOPAOLO +1 more
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A note on the inverse maximum principle on Carnot groups [PDF]
Let ΔG be a sublaplacian on a Carnot group, and let μ be a local measure on the open set Ω ⊂ G. If u ∈ L1l oc(Ω) is such that −ΔGu = μ, u ≥ 0 on Ω, then μc ≥ 0, where μc is the concentrated component of μ with respect to the G-capacity.
Gallo, Marco +3 more
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The p-Laplace equation in a class of Hormander vector fields
Electronic Journal of Differential Equations, 2019 We find the fundamental solution to the p-Laplace equation in a class of Hormander vector fields that generate neither a Carnot group nor a Grushin-type space. The singularity occurs at the sub-Riemannian points, which naturally corresponds to finding
Thomas Bieske, Robert D. Freeman
doaj
Performance of plant-produced RBDs as SARS-CoV-2 diagnostic reagents: a tale of two plant platforms
Frontiers in Plant ScienceThe COVID-19 pandemic has underscored the need for rapid and cost-effective diagnostic tools. Serological tests, particularly those measuring antibodies targeting the receptor-binding domain (RBD) of the virus, play a pivotal role in tracking infection ...
Mattia Santoni +14 more
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Sharp measure contraction property for generalized H-type Carnot groups
, 2018 International audienceWe prove that H-type Carnot groups of rank k and dimension n satisfy the MCP(K, N) if and only if K ≤ 0 and N ≥ k + 3(n − k). The latter integer coincides with the geodesic dimension of the Carnot group.
Rizzi, L. +7 more
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