17 citations · 20 across the 8 of their papers we have counts for
4 papers · 2 filters
Steiner symmetrization for anisotropic quasilinear equations via partial discretization
Friedemann Brock, Jesús Ildefonso Díaz, Adele Ferone +2
In this paper we obtain comparison results for the quasilinear equation with homogeneous Dirichlet boundary conditions by Steiner rearrangement in variabl…
A fast regularisation of a Newtonian vortex equation
José A. Carrillo, David Gómez-Castro, Juan Luis Vázquez
We consider equations of the form , where is the Newtonian potential (inverse of the Laplacian) posed in the whole sp…
Singular boundary behaviour and large solutions for fractional elliptic equations
Nicola Abatangelo, David Gómez-Castro, Juan Luis Vázquez
We show that the boundary behaviour of solutions to nonlocal fractional equations posed in bounded domains strongly differs from the one of solutions to elliptic problems modelled…
A nonlocal memory strange term arising in the critical scale homogenisation of a diffusion equation with a dynamic boundary condition
Jesús Ildefonso Díaz, David Gómez-Castro, Tatiana A. Shaposhnikova +1
Our main interest in this paper is the study of homogenised limit of a parabolic equation with a nonlinear dynamic boundary condition of the micro-scale model set on a domain with…