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Artículo
Some non-local population models with non-linear diffusion
(Elsevier, 2011)
In this paper we present some theoretical results concerning to a non-local elliptic equation with non-linear diffusion arising from population dynamics.
Artículo
A sub-supersolution method for nonlinear elliptic singular systems with natural growth and some applications
(Elsevier, 2016-02)
In this paper we give a sub-supersolution method for nonlinear elliptic singular systems with quadratic gradient whose model system is the following where Ω is a smooth bounded domain of RN (N≥3), β,μ≥0, 0<α,γ<1 and regular ...
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
Existence and non-existence of positive solutions for nonlinear elliptic singular equations with natural growth
(Elsevier, 2013-09)
In this paper we analyze the existence, non-existence and uniqueness of positive solutions of some nonlinear elliptic equations containing singular terms and natural growth in the gradient. We use an adequate sub-supersolution ...