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math.AP2021
Determining parameters giving different growths of a new Glioblastoma differential model
A. Fernández-Romero, F. Guillén-González, A. Suárez
In this paper we analyse a differential system related to a Glioblastoma growth. Using numerical simulations, we prove that model captures different kind of growth changing adequat…
math.AP2018
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…
math.AP2017
Existence results of positive solutions for Kirchhoff type equations via bifurcation methods
Willian Cintra, João R. Santos Júnior, Gaetano Siciliano +1
In this paper we address the following Kirchhoff type problem \begin{equation*} \left\{ \begin{array}{ll} -Δ(g(|\nabla u|_2^2) u + u^r) = a u + b u^p& \mbox{in}~Ω, u>0& \mbox{in}~Ω…