López Gómez, JuliánMaire, Luis2024-07-112024-07-112022-12Lopez-Gomez, J., & Maire, L. The existence of minimal large positive solutions for a class of nonlinear cooperative systems. Nonlinear Analysis: Real World Applications. 2022; 68: 1036931468-121810.1016/j.nonrwa.2022.103693https://hdl.handle.net/20.500.14352/105949n 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.engAttribution 4.0 Internationalhttp://creativecommons.org/licenses/by/4.0/journal articleopen accessNonlinear cooperative systemsLarge solutionLarge supersolutionMinimal large solutionEcuaciones diferenciales1206.02 Ecuaciones Diferenciales