Uniqueness of Positive Solutions for a Class of Quasilinear Problems with Multiple Parameters

Abstract

We prove uniqueness of positive solution for the quasilinear problems where Ω is a bounded domain in R N , with smooth boundary ∂Ω, f, g are p-sublinear at ∞ for positive number p with p > 1, u p−1 , are decreasing for large u, and λ, µ are large positive parameters.We also obtain the asymptotic behavior of the solution obtain as λ, µ → ∞