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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 ...
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)
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 ...