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dc.contributor.authorBae, Jung-Hyun ( )
dc.contributor.authorKim, Yun-Ho ( )
dc.date.accessioned2021-10-15T16:25:47Z
dc.date.available2021-10-15T16:25:47Z
dc.date.issued2019-01-30
dc.identifier.citationBae, J. H., & Kim, Y. H. (2019). Multiple solutions for discontinuous elliptic problems involving the fractional Laplacian. Electronic Journal of Differential Equations, 2019(18), pp. 1-16.en_US
dc.identifier.issn1072-6691
dc.identifier.urihttps://digital.library.txstate.edu/handle/10877/14660
dc.description.abstractIn this article, we establish the existence of three weak solutions for elliptic equations associated to the fractional Laplacian (-∆)su = λƒ(x, u) in Ω, u = 0 on ℝN \ Ω, where Ω is an open bounded subset in ℝN with Lipschitz boundary, λ is a real parameter, 0 < s < 1, N > 2s, and ƒ : Ω x ℝ → ℝ is measurable with respect to each variable separately. The main purpose of this paper is concretely to provide an estimate of the positive interval of the parameters λ for which the problem above with discontinuous nonlinearities admits at least three nontrivial weak solutions by applying two recent three-critical-points theorems.
dc.formatText
dc.format.extent16 pages
dc.format.medium1 file (.pdf)
dc.language.isoenen_US
dc.publisherTexas State University, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2019, San Marcos, Texas: Texas State University and University of North Texas.
dc.subjectFractional Laplacianen_US
dc.subjectThree-critical-points theoremen_US
dc.subjectMultiple solutionsen_US
dc.titleMultiple solutions for discontinuous elliptic problems involving the fractional Laplacianen_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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