Least energy sign-changing solutions for the nonlinear Schrodinger-Poisson system

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dc.contributor.authorJi, Chao
dc.contributor.authorFang, Fei
dc.contributor.authorZhang, Binlin
dc.date.accessioned2022-09-08T15:48:13Z
dc.date.available2022-09-08T15:48:13Z
dc.date.issued2017-11-13
dc.description.abstractThis article concerns the existence of the least energy sign-changing solutions for the Schrödinger-Poisson system -∆u + V(x)u + λφ(x)u = ƒ(u), in ℝ3, -∆φ = u2, in ℝ3 Because the so-called nonlocal term λφ(x)u is involved in the system, the variational functional of the above system has totally different properties from the case of λ = 0. By constraint variational method and quantitative deformation lemma, we prove that the above problem has one least energy sign-changing solution. Moreover, for any λ > 0, we show that the energy of a sign-changing solution is strictly larger than twice of the ground state energy. Finally, we consider λ as a parameter and study the convergence property of the least energy sign-changing solutions as λ ↘ 0.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationJi, C., Fang, F., & Zhang, B. (2017). Least energy sign-changing solutions for the nonlinear Schrodinger-Poisson system. <i>Electronic Journal of Differential Equations, 2017</i>(282), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/16127
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, 2017, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectSchrödinger-Poisson system
dc.subjectSign-changing solutions
dc.subjectConstraint variational method
dc.subjectQuantitative deformation lemma
dc.titleLeast energy sign-changing solutions for the nonlinear Schrodinger-Poisson systemen_US
dc.typeArticle

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