Results 71 to 80 of about 12,282,130 (266)
Interior HW^{1,p} estimates for divergence degenerate elliptic systems in Carnot groups
, 2012 Let X_1,...,X_q be the basis of the space of horizontal vector fields on a homogeneous Carnot group in R^n ...
Bramanti, Marco +2 more
core +1 more source
Horizontal semiconcavity for the square of Carnot–Carathéodory distance on step 2 Carnot groups and applications to Hamilton–Jacobi equations [PDF]
NonlinearityWe show that the square of Carnot–Carathéodory distance from the origin, in step 2 Carnot groups, enjoys the horizontal semiconcavity (h-semiconcavity) everywhere in the group including the origin. We first give a proof in the case of ideal Carnot groups,
Federica Dragoni, Qing Liu, Ye Zhang
semanticscholar +1 more source
Nonlinear elliptic equations on Carnot groups
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2016 This article concerns a class of elliptic equations on Carnot groups depending on one real positive parameter and involving a subcritical nonlinearity (for the critical case we refer to G. Molica Bisci and D. Repov , Yamabe-type equations on Carnot groups, Potential Anal. 46:2 (2017), 369-383; arXiv:1705.10100 [math.AP]).
Ferrara M, Molica Bisci G, Repovs R
openaire +6 more sources
, 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
openaire +2 more sources
Advanced Optical Materials, EarlyView.Curcuminoid boron difluoride dyes containing triphenylamine units are prepared and their photophysical and electrochemical properties are investigated. These new light‐emitting dyes are used in organic light‐emitting diodes (OLEDs) emitting at 800 nm with 1% external quantum efficiency, and show low threshold amplified spontaneous emission in thin ...
Anthony D'Aléo +11 more
wiley +1 more source
DFT screening of adsorption of biodiesel molecules on aluminum and stainless steel surfaces
Results in Surfaces and Interfaces, 2022 We present a Density Functional Theory (DFT) study of the adsorption of small organic molecules, taken as models of biodiesel autoxidation products, on stainless steel and aluminum surfaces.
Claudia Cantarelli +4 more
doaj
Batteries &Supercaps, EarlyView.Electricity storage is vital for the renewable energy transition, with lithium‐ion batteries (LIBs) as the leading technology. The LIB electrolyte composition determines their performance, lifespan, and charging capacity. Sensitive to water, LIB electrolytes require inert conditions for their analysis.
Julien Maillard +9 more
wiley +1 more source
Doubly critical problems involving Sub-Laplace operator on Carnot group
Electronic Research ArchiveThis paper was focused on the solvability of a class of doubly critical sub-Laplacian problems on the Carnot group $ \mathbb{G} $: \begin{document}$ -\Delta_{\mathbb{G}}u-\mu \frac{\psi^{2}(\xi) u }{\text{d}(\xi)^2} = \vert u\vert^{p-2}u +\psi ...
Shuhai Zhu
doaj +1 more source
Nonlinear Pulse Shaping in Fibres for Pulse Generation and Optical Processing
International Journal of Optics, 2012 The development of new all-optical technologies for data processing and signal manipulation is a field of growing importance with a strong potential for numerous applications in diverse areas of modern science.
Sonia Boscolo, Christophe Finot
doaj +1 more source
Conformality and Q-harmonicity in Carnot groups
Duke Mathematical Journal, 2006 We show that if f is a 1-quasiconformal map defined on an open subset of a Carnot group G, then composition with f preserves Q-harmonic functions. We combine this with a regularity theorem for Q-harmonic functions and an algebraic regularity theorem for maps between Carnot groups to show that f is smooth.
Capogna, Luca, Cowling, Michael
openaire +4 more sources