4 papers
On the existence of a positive solution to a nonlocal logistic system with nonlinear advection terms
Willian Cintra, Romildo Lima, Mayra Soares
In this paper, we study a nonlocal logistic system with nonlinear advection terms \begin{equation*} \left\{ \begin{array}{lcl} -Δu+\vecα(x)\cdot \nabla (|u|^{p-1}u)&=&\left(a-\int_…
On the structure of positive solutions for a class of quasilinear equations
Willian Cintra, Everaldo Medeiros, Uberlandio Severo
This paper studies the existence, nonexistence and uniqueness of positive solutions for a class of quasilinear equations. We also analyze the behavior of this solutions with respec…
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…
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…