Combining linear and fast diffusion in a nonlinear elliptic equation

In this paper we analyse an elliptic equation that combines linearand nonlinear fast diffusion with a logistic type reaction function. We proveexistence and non-existence results of positive solutions using bifurcation the-ory and sub-supersolution method. Moreover, we apply variational methodsto obtain a pair of ordered positive solutions.Coordenação de aperfeiçoamento de pessoal de nivel superiorMinisterio de Economía y CompetitividadFondo Europeo de Desarrollo RegionalConselho Nacional de Desenvolvimento Científico e Tecnológic