Schrödinger-Poisson systems with singular potential and critical exponent

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dc.contributor.authorLiu, Senli
dc.contributor.authorChen, Haibo
dc.contributor.authorFeng, Zhaosheng
dc.date.accessioned2021-10-13T13:52:56Z
dc.date.available2021-10-13T13:52:56Z
dc.date.issued2020-12-26
dc.description.abstractIn this article we study the Schrödinger-Poisson system -Δu + V(|x|)u + λφu = ƒ(u), x ∈ ℝ3, -Δφ = u2, x ∈ ℝ3 where V is a singular potential with the parameter α and the nonlinearity ƒ satisfies critical growth. By applying a generalized version of Lions-type theorem and the Nehari manifold theory, we establish the existence of the nonnegative ground state solution when λ = 0. By the perturbation method, we obtain a nontrivial solution to above system when λ ≠ 0.
dc.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationLiu, S., Chen, H., & Feng, Z. (2020). Schrödinger-Poisson systems with singular potential and critical exponent. Electronic Journal of Differential Equations, 2020(130), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/14641
dc.language.isoen
dc.publisherTexas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2020, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger-Poisson system
dc.subjectLions-type theorem
dc.subjectSingular potential
dc.subjectGround state solution
dc.subjectCritical exponent
dc.titleSchrödinger-Poisson systems with singular potential and critical exponent
dc.typeArticle

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