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Artículo
On a parabolic-elliptic chemotactic model with coupled boundary conditions
(Elsevier, 2010-10)
This paper deals with a nonlinear system of parabolic-elliptic type with a logistic source term and coupled boundary conditions related to pattern formation. We prove the existence of a unique positive global in time ...
Artículo
An optimal control problem for a Kirchhoff-type equation
(EDP Sciences, 2017)
In this paper we study a control problem for a Kirchhoff-type equation. The method to obtain first order necessary optimality conditions is the Dubovitskii-Milyoutin formalism because the classical arguments do not work. ...
Artículo
Anti-angiogenic therapy based on the binding receptors
(American Institute of Mathematical Sciences, 2012-11)
This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds specific receptors of the endothelial cells. We study the time-dependent ...
Artículo
An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary
(Elsevier, 2010-01-01)
In this paper we consider a parabolic problem as well as its stationary counterpart of a model arising in angiogenesis. The problem includes a chemotaxis type term and a nonlinear boundary condition at the tumor boundary. ...