Zhang, BoLiu, Xiangqing2023-04-122023-04-122022-02-10Zhang, B., & Liu, X. (2022). Localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth. <i>Electronic Journal of Differential Equations, 2022</i>(11), pp. 1-29.1072-6691https://hdl.handle.net/10877/16558In this article, we study the existence of localized nodal solutions for semiclassical quasilinear Choquard equations with subcritical growth -ɛp Δpv + V(x)|v|p-2v = ɛα-N |v|q-2v ∫ℝN |v(y)|q/ |x - y|α dy, x ∈ ℝN, where N ≥ 3, 1 < p < N, 0 < α < min{2p, N - 1}, p < q < p*α, p*α = p(2N - α)/ 2(N - p), V is a bounded function. By the perturbation method and the method of invariant sets of descending flow, for small ɛ we establish the existence of a sequence of localized nodal solutions concentrating near a given local minimum point of the potential function V.Text29 pages1 file (.pdf)enAttribution 4.0 InternationalQuasilinear Choquard equationNodal solutionsPerturbation methodArticle