Multiple nodal solutions of nonlinear Choquard equations
dc.contributor.author | Huang, Zhihua | |
dc.contributor.author | Yang, Jianfu | |
dc.contributor.author | Yu, Weilin | |
dc.date.accessioned | 2022-08-17T17:26:18Z | |
dc.date.available | 2022-08-17T17:26:18Z | |
dc.date.issued | 2017-10-27 | |
dc.description.abstract | In 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. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 18 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Huang, Z., Yang, J., & Yu, W. (2017). Multiple nodal solutions of nonlinear Choquard equations. Electronic Journal of Differential Equations, 2017(268), pp. 1-18. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16069 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | nonlinear Choquard equations | |
dc.subject | nodal solutions | |
dc.subject | nonlocal term | |
dc.title | Multiple nodal solutions of nonlinear Choquard equations | |
dc.type | Article |