Multiplicity of positive solutions for a gradient type cooperative/competitive elliptic system

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dc.contributor.authorSilva, Kaye
dc.contributor.authorSousa, Steffanio Moreno
dc.date.accessioned2021-09-17T20:16:33Z
dc.date.available2021-09-17T20:16:33Z
dc.date.issued2020-01-23
dc.description.abstractWe 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.
dc.description.departmentMathematics
dc.formatText
dc.format.extent14 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationSilva, 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.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14506
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.holderThis work is licensed under a Creative Commons Attribution 4.0 International License.
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectGradient systems
dc.subjectCooperative/competitive systems
dc.subjectNehari manifold
dc.subjectVariational methods
dc.subjectExtremal parameter
dc.titleMultiplicity of positive solutions for a gradient type cooperative/competitive elliptic system
dc.typeArticle

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