Chen, JianqingHuang, LirongRocha, Eugenio M.2021-10-252021-10-252019-02-18Chen, J., Huang, L., & Rocha, E. M. (2019). Ground state, bound states and bifurcation properties for a Schrodinger-Poisson system with critical exponent. <i>Electronic Journal of Differential Equations, 2019</i>(28), pp. 1-23.1072-6691https://hdl.handle.net/10877/14725This article concerns the existence of ground state and bound states, and the study of their bifurcation properties for the Schrödinger-Poisson system -Δu + u + φu = |u|4u + µh(x)u, -Δφ = u2 in ℝ3. Under suitable assumptions on the coefficient h(x), we prove that the ground state must bifurcate from zero, and that another bound state bifurcates from a solution, when µ = µ1 is the first eigenvalue of -Δu + u = µh(x)u in H1(ℝ3).Text23 pages1 file (.pdf)enAttribution 4.0 InternationalGround state and bound statesBifurcation propertiesSchrödinger-Poisson systemVariational methodArticle