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 \mathbb{R}^{2} with critical exponential growth

Data: 17/02/2017 às 14:00 h

Local: Auditório da Unidade Acadêmica de Matemática

Resumo: In this talk we study the existence of positive ground state solutions to the following class of coupled systems
\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 f_{1}(s) and 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.

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