Positive vortex solutions and phase separation for coupled Schrodinger system with singular potential
| dc.contributor.author | Deng, Jin | |
| dc.contributor.author | Xia, Aliang | |
| dc.contributor.author | Yang, Jianfu | |
| dc.date.accessioned | 2021-10-08T18:01:01Z | |
| dc.date.available | 2021-10-08T18:01:01Z | |
| dc.date.issued | 2020-10-30 | |
| dc.description.abstract | We consider the existence of rotating solitary waves (vortices) for a coupled Schrödinger equations by finding solutions to the singular system -Δu + λ1u + u/|x|2 = μ1u3 + βuv2, x ∈ ℝ2, -Δv + λ2v + v/|x|2 = μ2v3 + βu2v, x ∈ ℝ2, u, v ≥ 0, x ∈ ℝ2, where λ1, λ2, μ1, μ2 are positive parameters, β ≠ 0. We show that this system has a positive least energy solutions for the cases when either β is negative or β is positive and small or large. Moreover, if λ1 = λ2, then the solution is unique. We also study the limiting behavior of the least energy solutions in the repulsive case for β → -∞, and phase separation. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 20 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Deng, J., Xia, A., & Yang, J. (2020). Positive vortex solutions and phase separation for coupled Schrodinger system with singular potential. <i>Electronic Journal of Differential Equations, 2020</i>(108), pp. 1-20. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/14619 | |
| 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, 2020, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Schrödinger equation | |
| dc.subject | Singular potential | |
| dc.subject | Nehari manifold | |
| dc.title | Positive vortex solutions and phase separation for coupled Schrodinger system with singular potential | en_US |
| dc.type | Article |