Results 81 to 90 of about 2,346 (181)
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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Morrey estimates for subelliptic p-Laplace type systems with VMO coefficients in Carnot groups
Electronic Journal of Differential Equations, 2016 In this article, we study estimates in Morrey spaces to the horizontal gradient of weak solutions for a class of quasilinear sub-elliptic systems of p-Laplace type with VMO coefficients under the controllable growth over Carnot group if p is not too
Haiyan Yu, Shenzhou Zheng
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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
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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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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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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
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Roadmap on specialty optical fibers
JPhys PhotonicsOptical fibers, long an enabling technology for telecommunications, are proving to play a central role in a growing number of modern applications, starting from high speed broad band internet to medical surgery and entering across the entire spectrum of ...
Mário F S Ferreira +22 more
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Constructing Hölder maps to Carnot groups
Journal of the American Mathematical SocietyIn this paper, we construct Hölder maps to Carnot groups equipped with a Carnot metric, especially the first Heisenberg group H \mathbb {H}
Wenger, Stefan, Young, Robert
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