CAVALCANTE, L. P L.; http://lattes.cnpq.br/9761399484625272; CAVALCANTE, Luís Paulo de Lacerda.
Resumo:
In this work, we are studying the existence of positive solutions for the following
class of problem: −∆u+λu=Q(x)|u|p−2u em Ω, where Ω is a unbounded domain inRN. Using variational methods and arguments developed by P. L. Lions [14], Strauss [16], Willem [18] and Benci& Cerami [4], let us show the existence of positive solutions whenΩ=RN andΩ is an exterior domain.