Multiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearities

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dc.contributor.authorFan, Haining
dc.date.accessioned2021-11-29T20:09:44Z
dc.date.available2021-11-29T20:09:44Z
dc.date.issued2019-07-16
dc.description.abstractIn this article, we study the existence of multiple positive solutions for Schrödinger-Poisson systems involving concave-convex nonlinearities and sign-changing weight potentials. With the help of Nehari manifold and Ljusternik-Schnirelmann category theory, we investigate how the coefficient g(x) of the critical nonlinearity affects the number of positive solutions. Furthermore, we obtain a relationship between the number of positive solutions and the topology of the global maximum set of g.
dc.description.departmentMathematics
dc.formatText
dc.format.extent19 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFan, H. (2019). Multiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearities. <i>Electronic Journal of Differential Equations, 2019</i>(86), pp. 1-19.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14974
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, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectMultiple positive solutions
dc.subjectSchrödinger-Poisson system
dc.subjectCritical Sobolev exponent
dc.subjectNehari manifold
dc.subjectLjusternik-Schnirelmann category
dc.titleMultiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearities
dc.typeArticle

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