In this paper we deal with an eigenvalue problem in an interface elliptic equation. We characterize the set of principal ...

In this paper we consider an optimal control for an equation that models a crucial step in the tumor development, the ...

In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, ...

En esta Memoria estudiamos teóricamente ecuaciones en derivadas parciales elípticas no lineales con coeficiente de difusión ...

In this work, we will consider the study of the FitzHugh-Nagumo system, a simplification of the well-known Hodgkin-Huxley ...

In this manuscript we introduce a model of systems of ordinary nonlinear equations that represents different cell mutations. ...

In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there ...

In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction ...

In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality ...

In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the ...

In this paper we study a non-homogeneous elliptic Kirchhoff equation with nonlinear reaction term. We analyze the existence ...

This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis ...

This paper is devoted to a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic ...

This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy ...

This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary ...

In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness ...

In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain ...

In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. ...

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.

In this paper we consider a mathematical model of cancer cell invasion of tissue (extracellular matrix). Two crucial ...

Esta tesis presenta tres partes: En la primera haremos un estudio teórico general de las ecuaciones elípticas en derivadas ...

In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative ...

In this paper we consider a nonlinear system of differential equations arising in tumour invasion which has been proposed ...

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.

A system of quasilinear non-uniformly parabolic-elliptic equations modelling chemotaxis and taking into account the volume ...

In this paper we present results of uniqueness for an elliptic problem with nonlinear boundary conditions.

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.