Fan, Haining2021-11-292021-11-292019-07-16Fan, H. (2019). Multiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearities. <i>Electronic Journal of Differential Equations, 2019</i>(86), pp. 1-19.1072-6691https://hdl.handle.net/10877/14974In 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.Text19 pages1 file (.pdf)enAttribution 4.0 InternationalMultiple positive solutionsSchrödinger-Poisson systemCritical Sobolev exponentNehari manifoldLjusternik-Schnirelmann categoryMultiple positive solutions for Schrodinger-Poisson systems involving concave-convex nonlinearitiesArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.