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oai:docta.ucm.es:20.500.14352/1059492025-09-01T15:09:47Zcom_20.500.14352_14col_20.500.14352_15

The existence of minimal large positive solutions for a class of nonlinear cooperative systems López Gómez, Julián Maire, Luis In 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. 2024-07-11T09:47:33Z 2024-07-11T09:47:33Z 2022 journal article Lopez-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: 103693 1468-1218 10.1016/j.nonrwa.2022.103693 https://hdl.handle.net/20.500.14352/105949 eng http://creativecommons.org/licenses/by/4.0/ open access Attribution 4.0 International Elsevier