11 citations · 27 across the 4 of their papers we have counts for
5 papers · 1 filter
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…
A stationary population model with an interior interface-type boundary
Pablo Alvarez-Caudevilla, Cristina Brändle
We propose a stationary system that might be regarded as a migration model of some population abandoning their original place of abode and becoming part of another population, once…
Nonlocal heat equations: decay estimates and Nash inequalities
Cristina Brändle, Arturo de Pablo
We obtain -- decay estimates, for solutions of nonlocal heat equations of the form . Here is an integral oper…
A nonlocal one-phase Stefan problem that develops mushy regions
Cristina Brändle, Emmanuel Chasseigne, Fernando Quirós
We study a nonlocal version of the one-phase Stefan problem which develops mushy regions, even if they were not present initially, a model which can be of interest at the mesoscopi…
A concave-convex elliptic problem involving the fractional Laplacian
Cristina Brändle, Eduardo Colorado, Arturo de Pablo
We study a nonlinear elliptic problem defined in a bounded domain involving fractional powers of the Laplacian operator together with a concave-convex term. We characterize complet…