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Functional properties of limits of Sobolev homeomorphisms with integrable distortion

open access: yesСовременная математика: Фундаментальные направления
The 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
doaj   +1 more source

BCL3 rearrangements in B-cell lymphoid neoplasms occur in two breakpoint clusters associated with different diseases

open access: yesHaematologica, 2023
The t(14;19)(q32;q13) often juxtaposes BCL3 with immunoglobulin heavy chain (IGH) resulting in overexpression of the gene. In contrast to other oncogenic translocations, BCL3 rearrangement (BCL3-R) has been associated with a broad spectrum of lymphoid ...
Anna Carbo-Meix   +44 more
doaj   +1 more source

Nonlinear Pulse Shaping in Fibres for Pulse Generation and Optical Processing

open access: yesInternational 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

Almost uniform domains and Poincaré inequalities

open access: yesTransactions 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
doaj   +1 more source

W2,p a priori estimates for nonvariational operators: the sharp maximal function technique

open access: yesBruno Pini Mathematical Analysis Seminar, 2018
We consider a nonvariational degenerate elliptic operator, structured on a system of left invariant, 1-homogeneous, Hörmander vector fields on a Carnot group, where the coefficient matrix is symmetric, uniformly positive on a bounded domain and the ...
Marco Bramanti
doaj   +1 more source

Rankine Carnot Batteries with the Integration of Thermal Energy Sources: A Review

open access: yesEnergies, 2020
This paper provides an overview of a novel electric energy storage technology. The Thermally Integrated Pumped Thermal Electricity Storage (TI-PTES) stores electric energy as thermal exergy.
Guido Francesco Frate   +2 more
doaj   +1 more source

High Order Fefferman-Phong Type Inequalities in Carnot Groups and Regularity for Degenerate Elliptic Operators plus a Potential

open access: yesAbstract and Applied Analysis, 2014
Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
doaj   +1 more source

The Isoperimetric Problem in Carnot-Caratéodory Spaces

open access: yesBruno Pini Mathematical Analysis Seminar, 2017
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodory spaces, related to the Heisenberg group. This is the framework of Pansu’s conjecture about the shape of isoperimetric sets.
Valentina Franceschi
doaj   +1 more source

Metric lines in the jet space

open access: yesAnalysis and Geometry in Metric Spaces
In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj   +1 more source

A Decade with VAMDC: Results and Ambitions

open access: yesAtoms, 2020
This paper presents an overview of the current status of the Virtual Atomic and Molecular Data Centre (VAMDC) e-infrastructure, including the current status of the VAMDC-connected (or to be connected) databases, updates on the latest technological ...
Damien Albert   +72 more
doaj   +1 more source

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