Nyamoradi, NematZaidan, Lahib Ibrahim2022-04-132022-04-132017-04-27Nyamoradi, 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. 1-13.1072-6691https://hdl.handle.net/10877/15649In 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.Text13 pages1 file (.pdf)enAttribution 4.0 InternationalKirchhoff nonlocal operatorsFractional differential equationsFountain theoremMountain Pass TheoremCritical point theoryArticle