Existence and asymptotic behavior of positive least energy solutions for coupled nonlinear Choquard equations
| dc.contributor.author | You, Song | |
| dc.contributor.author | Zhao, Peihao | |
| dc.contributor.author | Wang, Qingxuan | |
| dc.date.accessioned | 2021-08-26T18:41:56Z | |
| dc.date.available | 2021-08-26T18:41:56Z | |
| dc.date.issued | 2021-05-28 | |
| dc.description.abstract | In this article, we study the coupled nonlinear Schrödinger equations with Choquard type nonlinearities -Δu + v1u = μ1 (1/|x|α ∗ u2)u + β(1/|x|α *v2u in ℝN, -Δv + v2v = μ2 (1/|x|α ∗ v2)v + β(1/|x|α ∗ u2 in ℝN, u, v ≥ 0 in ℝN, u, v ∈ H1(ℝN), where v1, v2, μ1, μ2 are positive constants, β > 0 is a coupling constant, N ≥ 3, α ∈ (0, N) ∩ (0, 4), and "∗" is the convolution operator. We show that the nonlocal elliptic system has a positive least energy solution for positive small β and positive large β via variational methods. For the case in which v1 = v2, energy solutions. Moreover, the asymptotic behaviors of the positive least energy solutions as β → 0+ are studied. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | You, S., Zhao, P., & Wang, Q. (2021). Existence and asymptotic behavior of positive least energy solutions for coupled nonlinear Choquard equations. <i>Electronic Journal of Differential Equations, 2021</i>(47), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14457 | |
| 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, 2021, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Coupled Choquard equations | |
| dc.subject | Positive least energy solution | |
| dc.subject | Asymptotic behavior | |
| dc.subject | Variational method | |
| dc.title | Existence and asymptotic behavior of positive least energy solutions for coupled nonlinear Choquard equations | en_US |
| dc.type | Article |