%0 Journal Article %A López Gómez, Julián %A Maire, Luis %T The existence of minimal large positive solutions for a class of nonlinear cooperative systems %D 2022 %@ 1468-1218 %U https://hdl.handle.net/20.500.14352/105949 %X n this paper we establish the existence of the minimal large positive solution for a general class of nonlinear cooperative systems including the simplest prototype of García-Melián et al. (2016). Precisely, based on the existence of a large positive supersolution, we can infer the existence of the minimal large positive solution. Moreover, we also give some sufficient easily computable conditions for the existence of a large positive supersolution. Our results generalize, very substantially, some of the findings of García-Melián et al. (2016) adopting a rather novel methodology. %~