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Artículo
Bifurcations in non-autonomous scalar equations
(Elsevier, 2006-02)
In a previous paper we introduced various definitions of stability and instability for non-autonomous differential equations, and applied these to investigate the bifurcations in some simple models. In this paper we ...
Artículo
Some non-local population models with non-linear diffusion
(Elsevier, 2011)
In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.
Artículo
Multiplicity results for an anisotropic equation with subcritical or critical growth
(De Gruyter, 2015-05)
In this work we show some multiplicity results for the anisotropic equation − XN i=1 ∂ ∂xi ∂u ∂xi pi−2 ∂u ∂xi = gλ(u) in Ω, and u = 0 on ∂Ω, where Ω ⊂ℝN is a bounded smooth domain, 1 < p1 ≤ p2 ≤ . . . ≤ pN and λ is a ...
Artículo
An eigenvalue problem for non-bounded quasi-linear operator
(Cambridge University Press, 2004-06)
In this paper we study the eigenvalues associated with a positive eigenfunction of a quasilinear elliptic problem with a not necessarily bounded operator. For that, we use the bifurcation theory and obtain the existence ...
Artículo
Uniqueness of solution for elliptic problems with non-linear boundary conditions
(International Publications, 2006-07)
In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary conditions.
Artículo
A logistic equation with degenerate diffusion and Robin boundary condition
(American Institute of Mathematical Sciences, 2008-09)
In this paper we study a model for a species confined in a bounded region. This species diffuses slowly, follows a logistic law in the habitat and there is a flux of population across the boundary of the habitat. Basically, ...
Artículo
Lotka-Volterra models with fractional diffusion
(Cambridge University Press, 2017-06)
In this paper we study the Lotka-Volterra models with fractional Laplacian. For that, we study in detail the logistic problem and show that the sub-supersolution method works for the scalar problem and in case of systems ...
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 ...
Tesis Doctoral
Artículo
Nonnegative solutions for the degenerate logistic indefinite sublinear equation
(Elsevier, 2003-01)
The goal of this paper is to study the nonnegative steady-states solutions of the degenerate logistic indefinite sublinear problem. We combine bifurcation method and linking local subsupersolution technique to show the ...