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dc.contributor.authorDeng, Jin ( )
dc.contributor.authorXia, Aliang ( Orcid Icon 0000-0002-7364-7898 )
dc.contributor.authorYang, Jianfu ( )
dc.date.accessioned2021-10-08T18:01:01Z
dc.date.available2021-10-08T18:01:01Z
dc.date.issued2020-10-30
dc.identifier.citationDeng, J., Xia, A., & Yang, J. (2020). Positive vortex solutions and phase separation for coupled Schrodinger system with singular potential. Electronic Journal of Differential Equations, 2020(108), pp. 1-20.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14619
dc.description.abstractWe 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.formatText
dc.format.extent20 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger equationen_US
dc.subjectSingular potentialen_US
dc.subjectNehari manifolden_US
dc.titlePositive vortex solutions and phase separation for coupled Schrodinger system with singular potentialen_US
dc.typepublishedVersion
txstate.documenttypeArticle
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
dc.description.departmentMathematics


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