In this note we give a result for the operator
p-Laplacian complementing a theorem by Brézis and Kamin
concerning a necessary and sufficient condition for the equation
−Δu=h(x)uq in ℝN, where 0<q<1, to have a bounded positive solution. While Brézis
and Kamin use the method of sub and super solutions, we employ variational
arguments for the existence of solutions.