Results 31 to 40 of about 1,589 (178)
, 2022 Jet spaces on $\mathbb R^n$ have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups adapted to horizontal differentiation and show that these jet spaces are themselves stratified Lie groups.
Golo, Sebastiano Nicolussi +1 more
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Dispersion‐Less Dissipative Soliton Fiber Laser
Laser &Photonics Reviews, EarlyView.A dispersion‐less fiber laser architecture generates high‐energy, pedestal‐free picosecond pulses without resorting to conventional pulse stretching. This energy‐managed laser achieves remarkable flexibility in pulse parameters, delivering up to 0.54 μJ$\mathrm{\mu}\mathrm{J}$ pulses with minimal spectral distortion using standard telecom components ...
Mostafa I. Mohamed +2 more
wiley +1 more source
The regularity problem for geodesics of the control distance
Bruno Pini Mathematical Analysis Seminar, 2018 In this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory.
Roberto Monti
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Almost uniform domains and Poincaré inequalities
Transactions of the London Mathematical Society, 2021 Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure.
Sylvester Eriksson‐Bique, Jasun Gong
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IET Smart Energy Systems, EarlyView.Integrated energy systems (IES) facilitate multi‐energy complementarity and efficient energy utilization. This study focuses on an IES with electricity, heating, cooling, and hydrogen loads, the proposed method can achieve a balance between system energy consumption, carbon emissions, and operational economy.
Hua Xie +5 more
wiley +1 more source
Yamabe-Type Equations on Carnot Groups
Potential Analysis, 2016 This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity. As a special case of our results we prove the existence of at least one nontrivial solution for a subelliptic critical equation defined on a smooth and bounded domain $D$ of the {Heisenberg group}
Molica Bisci G, Repovs D
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Allergy, EarlyView.ABSTRACT Background Allergic rhinitis (AR) impacts quality of life, work and school productivity. Over the last years, an important body of evidence resulting from mHealth data has led to a better understanding of AR. Such advances have motivated an EAACI‐endorsed update of the Allergic Rhinitis and its Impact on Asthma (ARIA) guidelines (ARIA 2024 ...
Bernardo Sousa‐Pinto +252 more
wiley +1 more source
Rectifiability in Carnot Groups
, 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.
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Curvature exponent and geodesic dimension on Sard-regular Carnot groups
Analysis and Geometry in Metric SpacesIn this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
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Functional properties of limits of Sobolev homeomorphisms with integrable distortion
Современная математика: Фундаментальные направленияThe functional and geometric properties of limits of homeomorphisms with integrable distortion of domains in Carnot groups are studied. The homeomorphisms belong to Sobolev classes.
S. K. Vodopyanov, S. V. Pavlov
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