Silva, KayeSousa, Steffanio Moreno2021-09-172021-09-172020-01-23Silva, K., Sousa, S. M. (2020). Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system. <i>Electronic Journal of Differential Equations, 2020</i>(10), pp. 1-14.1072-6691https://hdl.handle.net/10877/14506We study the existence of positive solutions for gradient type cooperative, competitive elliptic systems, which depends on real parameters λ, μ. Our analysis is purely variational and depends on finer estimates with respect to the Nehari sets, in fact, we determine the extremal parameter λ* (μ) for which the Nehari set is a manifold and hence standard variational techniques can be applied. We also discuss the cases where the Nehari set is not a manifold.Text14 pages1 file (.pdf)enAttribution 4.0 InternationalGradient systemsCooperative/competitive systemsNehari manifoldVariational methodsExtremal parameterArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.