Su, YuChen, Haibo2022-02-142022-02-142018-06-15Su, Y., & Chen, H. (2018). Existence of nontrivial solutions for a perturbation of Choquard equation with Hardy-Littlewood-Sobolev upper critical exponent. <i>Electronic Journal of Differential Equations, 2018</i>(123), pp. 1-25.1072-6691https://hdl.handle.net/10877/15323In this article, we consider the problem -∆u = (∫ℝN |u|2*μ/|x - y|μ dy) |u|2*μ - 2 u + ƒ(x, u) in ℝN, where N ≥ 3, μ ∈ (0, N) and 2*μ = 2N - μ/N - 2. Under suitable assumptions on ƒ(x, u), we establish the existence and non-existence of nontrivial solutions via the variational method.Text25 pages1 file (.pdf)enAttribution 4.0 InternationalHardy-Littlewood-Sobolev upper critical exponentChoquard equationArticle