8 citations · 18 across the 7 of their papers we have counts for
7 papers
Nonlocal Diffusion Elliptic System Modelling The Behaviour Of a Bacteria And a Living Nutrient
M. A. V. Costa, Y. B. C. Carranza, C. Morales-Rodrigo +1
In this paper, we discuss the existence and uniqueness of coexistence states for a class of non-local elliptic system. This problem models the behaviour of a bacteria and a living…
Generalized eigenvalue problem for an interface elliptic equation
Braulio B. V. Maia, Mónica Molina-Becerra, Cristian Morales-Rodrigo +1
In this paper we deal with an eigenvalue problem in an interface elliptic equation. We characterize the set of principal eigenvalues as a level set of a concave and regular functio…
Unilateral global bifurcation for a class of quasilinear elliptic systems and applications
Willian Cintra, Cristian Morales-Rodrigo, António Suárez
In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, extending a bifurcation theorem due to J. López-Gómez. To th…
Long-time behavior of an angiogenesis model with flux at the tumor boundary
Tomasz Cieslak, Cristian Morales-Rodrigo
This paper deals with a nonlinear system of partial differential equations modeling a simplified tumor-induced angiogenesis taking into account only the interplay between tumor ang…
Does the fully parabolic quasilinear 1D Keller-Segel system enjoy long-time asymptotics analogous to its parabolic-elliptic simplification?
Jan Burczak, Tomasz Cieślak, Cristian Morales-Rodrigo
We show that the one-dimensional fully parabolic Keller-Segel system with nonlinear diffusion possesses global-in-time solutions, provided the nonlinear diffusion is equal to (1+u)…
Asymptotic behaviour of global solutions to a model of cell invasion
Gabriela Litcanu, Cristian Morales-Rodrigo
In this paper we analyze a mathematical model focusing on key events of the cells invasion process. Global well-possedness and asymptotic behaviour of nonnegative solutions to the…
Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
Gabriela Litcanu, Cristian Morales-Rodrigo
In this paper we will focus on a parabolic degenerate system with respect to unknown functions u and w on a bounded domain of the two-dimensional Euclidean space. This system appea…