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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
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 ...