Wang, Lixia2022-03-092022-03-092018-10-17Wang, L. (2018). Multiple solutions for nonhomogeneous Choquard equations. <i>Electronic Journal of Differential Equations, 2018</i>(172), pp. 1-27.1072-6691https://hdl.handle.net/10877/15468In this article, we consider the multiple solutions for the nonhomogeneous Choquard equations -∆u + u = (1/|x|α ∗ |u|p)|u|p-2 u + h(x), x ∈ ℝN, and -∆u = (1/|x|α ∗ |u|2*α)|u|2*α-2u + h(x), x ∈ ℝN, where N ≥ 3, 0 < α < N, 2 - α/N < p < 2*α = 2N-α/N-2. Under suitable assumptions on h, we obtain at least two solutions on the subcritical case 2 - α/N < p < 2*α and on the critical case p = 2*α.Text27 pages1 file (.pdf)enAttribution 4.0 InternationalChoquard equationNonhomogeneousCritical exponentArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.