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Artículo
Existence of a positive solution for a singular system
(Cambridge University Press, 2010-04)
We show the existence and nonexistence of positive solutions to a system of singular elliptic equations with Dirichlet boundary condition. This system arises in studies of pattern formation in biology and in the ...
Ponencia
Reproductive and time periodic solutions for incompressible fluids
(2007-09)
In this article, our aims is to review some of the results that are currently available concerning the existence, uniqueness and regularity of reproductive and time periodic solutions of the Navier-Stokes equations and ...
Artículo
Inclusiones diferenciales, matemática difusa y aplicaciones
(Sociedad Española de Matemática Aplicada, 2003-06)
En este trabajo diremos cómo se pueden modelar ciertos sistemas tomados de la realidad que usan conceptos propios de la Matemática Difusa (conjuntos, multifunciones e inclusiones diferenciales “fuzzy”). Consideraremos ...
Artículo
Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model
(Wiley, 2009-06)
In [3] L. C. Berselli, On a Regularity Criterion for the Solutions to the 3D Navier-Stokes Equations, Diff. and Integral Eq., Vol. 15, Number 9, 1129-1137 (2002). , L. Berselli showed that the additional regularity hypothesis ...
Artículo
A variational approach to a nonlocal elliptic problem with sign-changing nonlinearity
(De Gruyter, 2011-05)
Ponencia
Regular time-reproductive solutions for generalized Boussinesq model with Neumann boundary conditions for temperature
(2005)
The aim of this work is to prove existence of regular time reproductive solutions for a generalized Boussinesq model (with nonlinear diffusion for velocity and temperature). The main idea is to obtain higher regularity ...
Artículo
Some remarks on the comparison principle in Kirchhoff equations
(European Mathematical Society, 2018)
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting ...
Artículo
A Lotka-Volterra symbiotic model with cross-diffusion
(Elsevier, 2009-03-01)
The main goal of this paper is to study the existence and non-existence of coexistence states for a Lotka-Volterra symbiotic model with cross-diffusion. We use mainly bifurcation methods and a priori bounds to give sufficient ...