On the Existence of Solutions of a Nonlocal Elliptic Equation with a p-Kirchhoff-Type Term

摘要

Questions on the existence of positive solutionsstudied: -[M(||u||1,p)]~(1,p) Δ_pu = f (x, u), in Ω, u =domain, f : Ω× R~+ → R and M : R~+ →R, R~+=for the following class of elliptic problems are0, on aΩ, where Ω c R~N is a bounded smooth[0, ∞) are given functions.