Existence of solutions for degenerate Kirchhoff type problems with fractional p-Laplacian

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dc.contributor.authorNyamoradi, Nemat
dc.contributor.authorZaidan, Lahib Ibrahim
dc.date.accessioned2022-04-13T17:43:03Z
dc.date.available2022-04-13T17:43:03Z
dc.date.issued2017-04-27
dc.description.abstractIn this article, by using the Fountain theorem and Mountain pass theorem in critical point theory without Palais-Smale (PS) condition, we show the existence and multiplicity of solutions to the degenerate Kirchhoff type problem with the fractional p-Laplacian (α + b ∫ ∫ℝ2N |u(x) - u(y)|p / |x - y|N+ps dx dy) (-∆)spu = ƒ(x, u) in Ω, u = 0 in ℝN \ Ω, where (-∆)sp is the fractional p-Laplace operator with 0 < s < 1 < p < ∞, Ω is a smooth bounded domain of ℝN, N > 2s, α, b > 0 are constants and ƒ : Ω x ℝ → ℝ is a continuous function.
dc.description.departmentMathematics
dc.formatText
dc.format.extent13 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationNyamoradi, N., & Zaidan, L. I. (2017). Existence of solutions for degenerate Kirchhoff type problems with fractional p-Laplacian. <i>Electronic Journal of Differential Equations, 2017</i>(115), pp. 1-13.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/15649
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.subjectKirchhoff nonlocal operators
dc.subjectFractional differential equations
dc.subjectFountain theorem
dc.subjectMountain Pass Theorem
dc.subjectCritical point theory
dc.titleExistence of solutions for degenerate Kirchhoff type problems with fractional p-Laplacian
dc.typeArticle

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