Bounded positive entire solutions of singular p-Laplacian equations

Abstract

We investigate singular p -Laplacian equations of the form div ( | ∇ u | p − 2 ∇ u ) + f ( x , u , ∇ u ) u − β = 0 , x ∈ R N , where 1 < p ≤ N , 0 ≤ β < p − 1 , and give a sufficient condition for the equation to have a decaying positive entire solution, by means of a supersolution and a subsolution.