Yao, XianzhongMu, Chunlai2023-06-152023-06-152016-02-29Yao, X., & Mu, C. (2016). Infinitely many sign-changing solutions for Kirchhoff-type equations with power nonlinearity. Electronic Journal of Differential Equations, 2016(59), pp. 1-7.1072-6691https://hdl.handle.net/10877/16932In this article we consider the Kirchhoff-type elliptic problem -(α + b ∫Ω |∇u|2dx) ∆u = |u|p-2u, in Ω, u = 0, on ∂Ω, where Ω ⊂ ℝN and p ∈ (2, 2*) with 2* = 2N/N-2 if N ≥ 3, and 2* = +∞ otherwise. We show that the problem possesses infinitely many sign-changing solutions by using combination of invariant sets of descent flow and the Ljusternik-Schnirelman type minimax method.Text9 pages1 file (.pdf)enAttribution 4.0 InternationalKirchhoff-typeSign-changing solutionsInvariant sets of descent flowArticle