Huang, ZhihuaYang, JianfuYu, Weilin2022-08-172022-08-172017-10-27Huang, Z., Yang, J., & Yu, W. (2017). Multiple nodal solutions of nonlinear Choquard equations. <i>Electronic Journal of Differential Equations, 2017</i>(268), pp. 1-18.1072-6691https://hdl.handle.net/10877/16069In this article, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation -∆u + u = (|x|-1 ∗ |u|p)|u|p-2u in ℝ3, u ∈ H1 (ℝ3), where p ∈ (5/2, 5). We show that for any positive integer k, the above problem has at least one radially symmetrical solution changing sign exactly k-times.Text18 pages1 file (.pdf)enAttribution 4.0 Internationalnonlinear Choquard equationsnodal solutionsnonlocal termArticle