Results 41 to 50 of about 12,319,056 (272)
On the ∞-Laplacian on Carnot Groups
Journal of Mathematical Sciences, 2022 We prove Lipschitz estimates for viscosity solutions to Poisson problem for the infinity Laplacian in general Carnot groups.
Fausto Ferrari +2 more
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The Sard problem in step 2 and in filiform Carnot groups [PDF]
E S A I M: Control, Optimisation and Calculus of Variations, 2022 . We study the Sard problem for the endpoint map in some well-known classes of Carnot groups. Our first main result deals with step 2 Carnot groups, where we provide lower bounds (depending only on the algebra of the group) on the codimension of the ...
Francesco Boarotto +2 more
semanticscholar +1 more source
Mean value formulas for classical solutions to some degenerate elliptic equations in Carnot groups [PDF]
Discrete and Continuous Dynamical Systems. Series A, 2022 We prove surface and volume mean value formulas for classical solutions to uniformly elliptic equations in divergence form with Hölder continuous coefficients.
D. Pallara, S. Polidoro
semanticscholar +1 more source
Identifying 1-rectifiable measures in Carnot groups
Analysis and Geometry in Metric Spaces, 2023 We continue to develop a program in geometric measure theory that seeks to identify how measures in a space interact with canonical families of sets in the space. In particular, extending a theorem of M. Badger and R.
Badger Matthew, Li Sean, Zimmerman Scott
doaj +1 more source
A note on monotonicity and Bochner formulas in Carnot groups [PDF]
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2022 In this note, we prove two monotonicity formulas for solutions of $\Delta _H f = c$ and $\Delta _H f - \partial _t f = c$ in Carnot groups. Such formulas involve the right-invariant carré du champ of a function and they are false for the left-invariant ...
N. Garofalo
semanticscholar +1 more source
Dirichlet Sub-Laplacians on Homogeneous Carnot Groups: Spectral Properties, Asymptotics, and Heat Content [PDF]
International mathematics research notices, 2022 We consider sub-Laplacians in open bounded sets in a homogeneous Carnot group and study their spectral properties. We prove that these operators have a pure point spectrum and prove the existence of the spectral gap.
M. Carfagnini, M. Gordina
semanticscholar +1 more source
Thermally driven hydrogen compression using metal hydrides
International Journal of Energy Research, Volume 46, Issue 15, Page 22049-22069, December 2022., 2022 This article overviews R&D activities related to the thermally‐driven hydrogen compression utilising metal hydrides. The focus is put on the interrelation between properties of metal hydride materials and their hydrogen compression performances, first, operating pressure – temperature range, process productivity and efficiency.
Mykhaylo Lototskyy, Vladimir Linkov
wiley +1 more source
Notions of Convexity in Carnot Groups [PDF]
Communications in Analysis and Geometry, 2003 n ...
Duy Minh Nhieu +3 more
openaire +4 more sources
Journal of Surgical Oncology, Volume 127, Issue 1, Page 109-118, January 2023., 2023 Abstract Background and Objectives Colorectal cancer (CRC) sidedness is recognized as a prognostic factor for survival; left‐sided colorectal cancer is associated with better outcomes than right‐sided colon cancer (RsCC). We aimed to evaluate the influence of obesity on CRC sidedness and determine how race, age, and sex affect mortality among ...
Mark B. Ulanja +9 more
wiley +1 more source
Blowups and blowdowns of geodesics in Carnot groups
Journal of Differential Geometry, 2023 43 pages, 2 figures, included versions of the main theorems for weak tangents, revised section 5.2, to appear in the Journal of Differential ...
Hakavuori, Eero, Le Donne, Enrico
openaire +2 more sources