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Artículo
Positive solutions for some indefinite nonlinear eigenvalue elliptic problems with Robin boundary conditions
(Elsevier, 2015-02)
We consider a nonlinear eigenvalue problem with indefinite weight under Robin boundary condition. We prove the existence and multiplicity of positive solutions. To this end, we carry out a detailed study of some linear ...
Artículo
On the symbiotic Lotka–Volterra model with diffusion and transport effects
(Elsevier, 2000-01-01)
In this work we analyze the existence, stability and multiplicity of coexistence states for a symbiotic Lotka-Volterra model with general diffusivities and transport effects. Global bifurcation theory, blowing up arguments ...
Artículo
Some remarks on the comparison principle in Kirchhoff equations
(European Mathematical Society, 2018)
In this paper we study the validity of the comparison principle and the sub-supersolution method for Kirchhoff type equations. We show that these principles do not work when the Kirchhoff function is increasing, contradicting ...
Artículo
Some eigenvalue problems with non-local boundary conditions and applications
(American Institute of Mathematical Sciences, 2014-11)
In this paper we study an elliptic eigenvalue problem with non-local boundary condition. We prove the existence of the principal eigenvalue and its main properties. As consequence, we show the existence and uniqueness of ...