Results 21 to 30 of about 1,589 (178)
Regularity for quasilinear PDEs in Carnot groups via Riemannian approximation
Bruno Pini Mathematical Analysis Seminar, 2020 We study the interior regularity of weak solutions to subelliptic quasilinear PDEs in Carnot groups of the formΣi=1m1Xi (Φ(|∇Hu|2)Xiu) = 0. Here ∇Hu = (X1u,...,Xmiu) is the horizontal gradient, δ > 0 and the exponent p ∈ [2, p*), where p* depends on ...
András Domokos, Juan J. Manfredi
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The Traveling Salesman Theorem in Carnot groups [PDF]
Calculus of Variations and Partial Differential Equations, 2018 Let $\mathbb{G}$ be any Carnot group. We prove that, if a subset of $\mathbb{G}$ is contained in a rectifiable curve, then it satisfies Peter Jones' geometric lemma with some natural modifications. We thus prove one direction of the Traveling Salesman Theorem in $\mathbb{G}$.
Chousionis, Vasilis +2 more
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Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups
Analysis and Geometry in Metric Spaces, 2016 In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups.
Montefalcone Francescopaolo
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Structure of porous sets in Carnot groups [PDF]
Illinois Journal of Mathematics, 2017 23 ...
Pinamonti A., Speight G.
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BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups
Analysis and Geometry in Metric Spaces, 2015 Let f : G → H be a Lipschitz map between two Carnot groups. We show that if B is a ball of G, then there exists a subset Z ⊂ B, whose image in H under f has small Hausdorff content, such that B\Z can be decomposed into a controlled number of pieces, the ...
Li Sean
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Intrinsic regular surfaces in Carnot groups
Bruno Pini Mathematical Analysis SeminarA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
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Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
wiley +1 more source
Ricci curvatures in Carnot groups
Mathematical Control & Related Fields, 2013 29 pages, 1 ...
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Embedded Direct‐Written Organic Micro‐TEGs for High‐Efficiency Skin‐Heat Harvesting
Advanced Electronic Materials, EarlyView.A finite‐element–guided design of direct‐written organic micro‐thermoelectric generators is presented for efficient skin‐heat harvesting. Embedding PEDOT:PSS/PBFDO thermoelectric legs within flexible substrates suppresses interfacial heat losses and enhances vertical heat flow.
Milad Jabri +4 more
wiley +1 more source
Anomeric Amides: Valuable Reagents in Synthetic Organic Chemistry
Angewandte Chemie International Edition, EarlyView.Enabling late‐stage transformations and skeletal editing, anomeric amides have recently emerged as powerful synthetic tools. Due to their unique properties, anomeric amides have been employed in reactions ranging from amination to halogenation. This minireview provides an overview of recent progress in using anomeric amides across a variety of ...
Arushi Garg +3 more
wiley +1 more source