Existence of nontrivial solutions for a perturbation of Choquard equation with Hardy-Littlewood-Sobolev upper critical exponent
| dc.contributor.author | Su, Yu | |
| dc.contributor.author | Chen, Haibo | |
| dc.date.accessioned | 2022-02-14T18:23:59Z | |
| dc.date.available | 2022-02-14T18:23:59Z | |
| dc.date.issued | 2018-06-15 | |
| dc.description.abstract | In 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. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 25 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Su, 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. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15323 | |
| 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, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Hardy-Littlewood-Sobolev upper critical exponent | |
| dc.subject | Choquard equation | |
| dc.title | Existence of nontrivial solutions for a perturbation of Choquard equation with Hardy-Littlewood-Sobolev upper critical exponent | |
| dc.type | Article |