Sistemas de equações de Poisson acopladas com crescimento crítico em domínios não limitados: uma aplicação do teorema de Kryszewki e Szulkin.

Abstract

In this work, we study a Generalized LinkingT heorem due Kryszewi and Szulkin, which complets a well know result due Rabinowitz, in the sense that, it is possible to consider a decomposition of the typeX=Y⊕Z, withY andZ have infinite dimensional. Using the above Generalized Linking Theorem, we prove the existence of nontrivial solutions to two systems of coupled Poisson equations with critical growth in unbounded domains.