On –δ u = K ( x ) u 5 in ℝ 3

In this paper, we study the equation –Δ u = K ( x ) u 5 in ℝ 3 and provide a large class of positive functions K ( x ) for which we obtain infinitely many positive solutions which decay at infinity at the rate of | x | −1 . © 1993 John Wiley & Sons, Inc.