7 citations · 17 across the 18 of their papers we have counts for
23 papers
On countable subsets of solutions of nonlinear higher-order ODEs and elliptic PDEs with indefinite operators
Pablo Alvarez-Caudevilla, Jonathan D. Ev ans, Victor A. Galaktionov
Countable subsets of solutions of higher-order nonlinear ODEs and elliptic PDEs with indefinite non-coercive operators from the reaction-diffusion, thin film and dynamical system (…
Asymmetric Kedem-Katchalsky boundary conditions for systems with spatial heterogeneities
Pablo Álvarez-Caudevilla, Cristina Brändle, Fermin González-Pereiro
This work investigates a model describing the interaction of two species in habiting separate but adjacent areas. These populations are governed by a system of equations that accou…
A three population Lotka-Volterra competition model with two populations interacting through an interface
Pablo Álvarez-Caudevilla, Cristina Brändle, Mónica Molina-Becerra +1
In this work we consider three species competing with each other in the same habitat. One of the species lives in the entire habitat, competing with the other two species, while th…
Interface logistic problems: large diffusion and singular perturbation results
Pablo Álvarez-Caudevilla, Cristina Brändle, Mónica Molina-Becerra +1
In this work we consider an interface logistic problem where two populations live in two different regions, separated by a membrane or interface where it happens an interchange of…
Asymptotic limit of linear parabolic equations with spatio-temporal degenerated potentials
Pablo Àlvarez-Caudevilla, Matthieu Bonnivard, Antoine Lemenant
In this paper, we observe how the heat equation in a non-cylindrical domain can arise as the asymptotic limit of a parabolic problem in a cylindrical domain, by adding a potential…
Asymptotic behaviour for a class of quasilinear cooperative eigenvalue problems
Pablo Alvarez-Caudevilla
This work is devoted to the analysis of the asymptotic behaviour of a parameter dependent quasilinear cooperative eigenvalue system when a parameter in front of some non-negative p…