Eventos, Avisos & Notí­cias Conferência do pesquisador José Carlos de Albuquerque

# Conferência do pesquisador José Carlos de Albuquerque

Título: On coupled systems of nonlinear equations on $latex \mathbb{R}^{2}$ with critical exponential growth

Data: 17/02/2017 às 14:00 h

$latex \left\{ \begin{array}{lr} -\Delta u+u=f_{1}(u)+\lambda(x)v, & \mathbb{R}^{2},\\ -\Delta v+v=f_{2}(v)+\lambda(x)u, & \mathbb{R}^{2}, \end{array} \right.$
where the nonlinearities $latex f_{1}(s)$ and $latex f_{2}(s)$ have critical exponential growth motivated by a class of Trudinger-Moser inequality introduced by D.M. Cao (1992). Our approach is variational and based on minimization technique over the Nehari manifold. This is a joint work with J.M. do Ó.