Data

NameMorales Rodrigo, Cristian
DepartmentEcuaciones Diferenciales y Análisis Numérico
Knowledge areaAnálisis Matemático
Professional categoryProfesor Titular de Universidad
E-mailRequest
           

  Statistics

  • Items

    25

  • Visits

    3033

  • Downloads

    4561

  Publications

 

Article
Icon

Unilateral global bifurcation for a class of quasilinear elliptic systems and applications

Cintra da Silva, Willian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Elsevier, 2019-06-01)
In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, ...
PhD Thesis
Icon

Estudio de soluciones positivas de problemas elípticos con coeficiente de difusión no-local.

Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Figueiredo de Sousa, Tarcyana do Socorro (2018-07-10)
En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ...
Final Degree Project
Icon

Estudio de modelos de ecuaciones diferenciales en Neurociencia. El sistema de FitzHugh-Nagumo

Fernández García, Soledad; Morales Rodrigo, Cristian; Carballés Balsa, Rut (2018-01-01)
In this work, we will consider the study of the FitzHugh-Nagumo system, a simplification of the well-known Hodgkin-Huxley ...
Final Degree Project
Icon

Modelos de ecuaciones diferenciales con origen en biología

Morales Rodrigo, Cristian; Saravia Garrido, Paula (2018-01-01)
In this manuscript we introduce a model of systems of ordinary nonlinear equations that represents different cell mutations. ...
Article
Icon

Refuge versus dispersion in the logistic equation

Cintra da Silva, Willian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Elsevier, 2017-06-05)
In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there ...
Article
Icon

Combining linear and fast diffusion in a nonlinear elliptic equation

Cintra da Silva, Willian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Springer, 2017-02-01)
In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction ...
Article
Icon

An optimal control problem for a Kirchhoff-type equation

Delgado Delgado, Manuel; Malcher Figueiredo, Giovany de Jesus; Gayte Delgado, María Inmaculada; Morales Rodrigo, Cristian (EDP Sciences, 2017-01-01)
In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality ...
Article
Icon

Some eigenvalue problems with non-local boundary conditions and applications

Reis Abreu, Rafael dos; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2014-11-01)
In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the ...
Article
Icon

Study of a nonlinear Kirchhoff equation with non-homogeneous material

Malcher Figueiredo, Giovany de Jesus; Morales Rodrigo, Cristian; Rodrigues dos Santos Júnior, Joao; Suárez Fernández, Antonio (Elsevier, 2014-08-15)
In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence ...
Article
Icon

Long-time behavior of an angiogenesis model with flux at the tumor boundary

Cieslak, Tomasz; Morales Rodrigo, Cristian (Springer, 2013-12-01)
This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis ...
Article
Icon

A therapy inactibating the tumor angiogenic factors

Morales Rodrigo, Cristian (AIMS Press, 2012-12-01)
This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic ...
Article
Icon

Anti-angiogenic therapy based on the binding receptors

Delgado Delgado, Manuel; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (American Institute of Mathematical Sciences, 2012-11-01)
This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy ...
Article
Icon

On a parabolic-elliptic chemotactic model with coupled boundary conditions

Delgado Delgado, Manuel; Morales Rodrigo, Cristian; Suárez Fernández, Antonio; Tello del Castillo, José Ignacio (Elsevier, 2010-10-01)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary ...
Article
Icon

Asymptotic behaviour of global solutions to a model of cell invasion

Litcanu, Gabriela; Morales Rodrigo, Cristian (World Scientific, 2010-09-01)
In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness ...
Article
Icon

An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary

Delgado Delgado, Manuel; Gayte Delgado, María Inmaculada; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Elsevier, 2010-01-01)
In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ...
Article
Icon

Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology

Litcanu, Gabriela; Morales Rodrigo, Cristian (Elsevier, 2010-01-01)
In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain ...
Article
Icon

On some models describing cellular movement: The macroscopic scale

Morales Rodrigo, Cristian (Sociedad Española de Matemática Aplicada, 2009-09-01)
Along this work we will consider several models of partial differential equations that describe cellular movement. We will introduce some mathematical techniques in order to describe the behaviour of the solutions of these models.
Article
Icon

Mathematical modelling of cancer invasion of tissue the role and effect of nonlocal interactions

Szymanska, Zuzanna; Morales Rodrigo, Cristian; Lachowicz, Miroslaw; Chaplain, Mark A.J. (World Scientific, 2009-02-01)
In this paper we consider a mathematical model of cancer cell invasion of tissue (extracellular matrix). Two crucial ...
PhD Thesis
Icon

Ecuaciones en derivadas parciales con condiciones de contorno no lineales aplicaciones a la dinámica de tumores

Suárez Fernández, Antonio; Morales Rodrigo, Cristian (2009-01-01)
Esta tesis presenta tres partes: En la primera haremos un estudio teórico general de las ecuaciones elípticas en derivadas ...
Article
Icon

Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary

García Melián, Jorge José; Morales Rodrigo, Cristian; Rossi Pérez, Julio Daniel; Suárez Fernández, Antonio (Springer, 2008-07-01)
In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative ...
Article
Icon

Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours

Morales Rodrigo, Cristian (Elsevier, 2008-03-01)
In this paper we consider a nonlinear system of differential equations arising in tumour invasion which has been proposed ...
Presentation
Icon

Convergencia al equilibrio en un modelo simplificado de angiogénesis

Litcanu, Gabriela; Morales Rodrigo, Cristian (2007-09-01)
En esta comunicación abordamos una clase general de modelos con origen en biología. En particular los modelos describen el movimiento de bacterias, procesos invasivos tumorales y el proceso de angiogénesis asociado a los tumores.
Article
Icon

Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions

Cieslak, Tomasz; Morales Rodrigo, Cristian (Juliusz Schauder Center for Nonlinear Studies, 2007-01-01)
A system of quasilinear non-uniformly parabolic-elliptic equations modelling chemotaxis and taking into account the volume ...
Article
Icon

Uniqueness of solution for elliptic problems with non-linear boundary conditions

Morales Rodrigo, Cristian; Suárez Fernández, Antonio (International Publications, 2006-07-01)
In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary conditions.
Chapter of Book
Icon

Some elliptic problems with nonlinear boundary conditions

Cano Casanova, Santiago; López Gómez, Julián; Mora Corral, Carlos; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (World Scientific, 2005-01-01)
This paper concerns with some elliptic equations with non-linear boundary conditions. Sub-supersolution and bifurcation methods are used in order to obtain existence, uniqueness or multiplicity of positive solutions.