Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations

Abstract

We consider the problem −div(|∇u|p−2∇u)=a(x)(um+λun), x∈ℝN, N≥3, where 00 such that the above-mentioned equation admits at least one solution for all λ∈(0,λ0). This extends the results of Laplace equation to the case of p-Laplace equation.