9 citations · 17 across the 5 of their papers we have counts for
3 papers · 1 filter
Theoretical and numerical analysis for a hybrid tumor model with diffusion depending on vasculature
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this work we analyse a PDE-ODE problem modelling the evolution of a Glioblastoma, which includes an anisotropic nonlinear diffusion term with a diffusion velocity increasing wit…
Theoretical analysis for a PDE-ODE system related to a Glioblastoma tumor with vasculature
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this paper we study a PDE-ODE system as a simplification of a Glioblastoma model. Mainly, we prove the existence and uniqueness of global in time classical solution using a fixe…
Existence of Positive Eigenfunctions to an Anisotropic Elliptic Operator via Sub-Super Solutions Method
Simone Ciani, Giovany M. Figueiredo, Antonio Suàrez
Using the sub-supersolution method we study the existence of positive solutions for the anisotropic problem \begin{equation} -\sum_{i=1}^N\frac{\partial}{\partial x_i}\left( \left|…