8 citations · 13 across the 4 of their papers we have counts for
5 papers · 1 filter
Slow motion for the time-fractional Allen-Cahn equation with linear and nonlinear diffusion
Davide Cusseddu, Raffaele Folino, Luis Fernando López Ríos
We study the slow motion of phase transition layers for a time-fractional Allen--Cahn equation with a Caputo time derivative of order . We show that the fractional memor…
Layer dynamics for the Allen-Cahn equation with nonlinear phase-dependent diffusion
José Alejandro Butanda Mejía, Daniel Castañon Quiroz, Raffaele Folino +1
The goal of this paper is to describe the metastable dynamics of the solutions to the reaction-diffusion equation with nonlinear phase-dependent diffusion $u_t=\varepsilon^2(D(u)u_…
On a generalized Cahn-Hilliard model with p-Laplacian
Raffaele Folino, Luis Fernando Lopez Rios, Marta Strani
A generalized Cahn-Hilliard model in a bounded interval of the real line with no-flux boundary conditions is considered. The label "generalized" refers to the fact that we consider…
An optimization problem for the first eigenvalue of the fractional laplacian
L. Del Pezzo, J. Fernandez Bonder, L. Lopez-Rios
In this paper we analyze an eigenvalue problem related to the nonlocal laplace operator plus a potential. After reviewing some elementary properties of the first eigenvalue of…
Bubbling solutions for nonlocal elliptic problems
Juan Dávila, Luis López Ríos, Yannick Sire
We investigate bubbling solutions for the nonlocal equation \[ A_Ω^s u =u^p,\ u >0 \quad \mbox{in } Ω, \] under homogeneous Dirichlet conditions, where is a bounded and smooth…