9 citations · 17 across the 5 of their papers we have counts for
7 papers · 1 filter
A Glioblastoma PDE-ODE model including chemotaxis and 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 chemotaxis term directed to vasculature. First, we obtain some a priori estimate…
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|…
Study of a class of generalized Schrödinger equations
Andrelino V. Santos, João R. Santos Júnior, Antonio Suárez
A class of generalized Schrödinger problems in bounded domain is studied. A complete overview of the set of solutions is provided, depending on the values assumed by parameters inv…
Existence and uniqueness of solution for a nonhomogeneous nonlocal problem
Camil S. Z. Redwan, João R. Santos Júnior, Antonio Suárez
In this paper we investigate a class of elliptic problems involving a nonlocal Kirchhoff type operator with variable coefficients and data changing its sign. Under appropriated con…
Some remarks on the comparison principle in Kirchhoff equations
Giovany M. Figueiredo, Antonio Suarez
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Ki…