Alejandro Vélez-Santiago

collaborators

4 papers

math.AP2025

Generalized quasi-linear fractional Wentzell problems

Efren Mesino-Espinosa, Alejandro Vélez-Santiago

Given a bounded $(ε, δ)$ -domain $Ω \subseteq R^{N}$ ( $N \geq 2$ ) whose boundary $Γ := \partial Ω$ is a $d$ -set for $d \in (N - p, N)$ , we investigate a generalized quasi-linear ellipti…

math.AP2025

Diffusion over ramified domains: solvability and fine regularity

Kevin Silva-Pérez, Alejandro Vélez-Santiago

We consider a domain $Ω \subseteq R^{2}$ with branched fractal boundary $Γ^{\infty}$ and parameter $τ \in [1/2, τ^{*}]$ introduced by Achdou and Tchou \cite{ACH08}, for…

math.MG2023

3D Koch-type crystals

Giovanni Ferrer, Alejandro Vélez-Santiago

We consider the construction of a family ${K_{N}}$ of $3$ -dimensional Koch-type surfaces, with a corresponding family of $3$ -dimensional Koch-type ``snowflake analogues" $\{\mathca…

math.AP2023

The generalized anisotropic dynamical Wentzell heat equation with nonstandard growth conditions

Carlos Carvajal-Ariza, Javier Henríquez-Amador, Alejandro Vélez-Santiago

The aim of this paper is to establish the solvability and global regularity theory for a new class of generalized anisotropic heat-type boundary value problems with (pure) dynamica…