Existence of positive solutions to the nonlinear Choquard equation with competing potentials
| dc.contributor.author | Wang, Jun | |
| dc.contributor.author | Qu, Mengmeng | |
| dc.contributor.author | Xiao, Lu | |
| dc.date.accessioned | 2022-01-24T20:22:18Z | |
| dc.date.available | 2022-01-24T20:22:18Z | |
| dc.date.issued | 2018-03-07 | |
| dc.description.abstract | This article concerns the existence of positive solutions of the non-linear Choquard equation -∆u + α(x)u = b(x) (1/|x| ⁎ |u|2)u, u ∈ H1(ℝ3), where the coefficients α and b are positive functions such that α(x) → κ∞ and b(x) → μ∞ as |x| → ∞. By comparing the decay rate of the coefficients α and b, we prove the existence of positive ground and bound stat solutions of Choquard equation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Wang, J., Qu, M., & Xiao, L. (2018). Existence of positive solutions to the nonlinear Choquard equation with competing potentials. <i>Electronic Journal of Differential Equations, 2018</i>(63), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15204 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| 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 | Positive solutions | |
| dc.subject | Choquard equation | |
| dc.subject | Competing coefficients | |
| dc.subject | Variational methods | |
| dc.title | Existence of positive solutions to the nonlinear Choquard equation with competing potentials | |
| dc.type | Article |