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Capítulo de Libro
The sub-supersolution method for Kirchhoff systems: applications
(Springer, 2015)
In this paper we prove that the sub-supersolution method works for general Kirchhoff systems. We apply the cited method to prove the existence of positive solutions for some specific models.
Capítulo de Libro
Some indefinite nonlinear eigenvalue problems
(World Scientific, 2004)
In this work we study the structure of the set of positive solutions of a nonlinear eigenvalue problem with a weight changing sign. Specifically, the reaction term arises from a population dynamic model. We use mainly ...
Capítulo de Libro
Some elliptic problems with nonlinear boundary conditions
(World Scientific, 2005)
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.
Capítulo de Libro
Attracting complex networks
(Springer, 2016)
Real phenomena from different areas of Life Sciences can be described by complex networks, whose structure is usually determining their intrinsic dynamics. On the other hand, Dynamical Systems Theory is a powerful tool for ...
Artículo
Nonlocal elliptic system arising from the growth of cancer stem cells
(AIMS, 2018-04-18)
In this work we show the existence of coexistence states for a nonlocal elliptic system arising from the growth of cancer stem cells. For this, we use the bifurcation method and the theory of the fixed point index in cones. ...