Lan, YongyiTang, BiyunHu, Xian2021-09-292021-09-292020-05-21Lan, Y., Tang, B., & Hu, X. (2020). Positive solutions of Schrodinger-Poisson systems with Hardy potential and indefinite nonlinearity. <i>Electronic Journal of Differential Equations, 2020</i>(47), pp. 1-10.1072-6691https://hdl.handle.net/10877/14554In this article, we study the nonlinear Schrödinger-Poisson system -Δu + u - μ u/|x|2 + l(x)φu = k(x)|u|p-2u x ∈ ℝ3, -Δφ = l(x)u2 x ∈ ℝ3, where k ∈ C(ℝ3) and 4 < p < 6, k changes sign in ℝ3 and lim sup|x|→∞ k(x) = k∞ < 0. We prove that Schrödinger-Poisson systems with Hardy potential and indefinite nonlinearity have at least one positive solution, using variational methods.Text10 pages1 file (.pdf)enAttribution 4.0 InternationalHardy potentialVariational methodsIndefinite nonlinearityPositive solutionArticle