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Artículo
On certain doubly non-uniformly and singular non-uniformly elliptic systems
(Elsevier, 2003-09)
We consider the steady state of the thermistor problem consisting of a coupled set of nonlinear elliptic equations governing the temperature and the electric potential. We study the existence of weak solutions under two ...
Artículo
Santilli autotopisms of partial groups
(Science Publishing Group, 2015-10)
This paper deals with those partial groups that contain a given Santilli isotopism in their autotopism group. A classification of these autotopisms is explicitly determined for partial groups of order n ≤ 4.
Artículo
A theorem of H. Hopf and the Cauchy-Riemann inequality II
(Springer, 2007)
This is a sequel to “A theorem of H. Hopf and the Cauchy-Riemann inequality” [AdCT]. Here the result of the previous paper is extended (see the precise statement in Section 1 of the present paper) to surfaces in ...
Artículo
The space of scalarly integrable functions for a Fréchet-space-valued measure
(Elsevier, 2009)
The space L1 w (ν) of all scalarly integrable functions with respect to a Fréchet-space-valued vector measure ν is shown to be a complete Fréchet lattice with the σ-Fatou property which contains the (traditional) space ...
Artículo
Some isoperimetric problems in planes with density
(Springer, 2010)
We study the isoperimetric problem in Euclidean space endowed with a density. We first consider piecewise constant densities and examine particular cases related to the characteristic functions of half-planes, strips and ...
Artículo
Set-independence graphs of vector spaces and partial quasigroups
(Yildiz Technical University, 2023-09-04)
As a generalization of independence graphs of vector spaces and groups, we introduce the notions of set-independence graphs of vector spaces and partial quasigroups. The former are characterized for finite-dimensional ...
Artículo
A network approach to analyze neuronal lineage and layer innervation in the Drosophila optic lobes
(Public Library of Science, 2020)
The optic lobes of the fruit fly Drosophila melanogaster form a highly wired neural network composed of roughly 130.000 neurons of more than 80 different types. How neuronal diversity arises from very few cell progenitors ...
Artículo
Efficiently Storing Well-Composed Polyhedral Complexes Computed Over 3D Binary Images
(Springer, 2017)
A 3D binary image I can be naturally represented by a combinatorial-algebraic structure called cubical complex and denoted by Q(I ), whose basic building blocks are vertices, edges, square faces and cubes. In Gonzalez-Diaz et ...
Artículo
Layer-averaged approximation of Navier-Stokes system with complex rheologies
(EDP Sciences / Société de Mathématiques Appliquées et Industrielles, 2023)
In this work, we present a family of layer-averaged models for the Navier–Stokes equations. For its derivation, we consider a layerwise linear vertical profile for the horizontal velocity component. As a particular case, ...