On the Existence Results for (p, q)-Kirchhoff Type Systems with Multiple Parameters

Abstract

In this paper, we are interested in the existence of positive solutions for the following nonlocal p-Kirchho problem of the type (equation) where Ω is a bounded smooth domain of R^N, p, q > 1, 0 < α < p-1, 0 < β < q-1, M_i : R⁺₀ → R⁺, i = 1, 2, are two continuous and increasing functions, λ, u are two positive parameters, and a, b ∈ C(Ω).

Key words and phrases. Kirchhoff type systems, semipositone, positive solution, sub- and supersolutions.

2000 Mathematics Subject Classification. 35D05, 35J60.