EXISTENCE OF SOLUTIONS FOR SEMILINEAR PROBLEMS WITH PRESCRIBED NUMBER OF ZEROS ON EXTERIOR DOMAINS.

In this article we prove the existence of an infinite number of radial solutions of Δ (u) + f (u) = 0 with prescribed number of zeros on the exterior of the ball of radius R > 0 centered at the origin in R N where f is odd with f < 0 on (0,β), f > 0 on (β, ∞) where β > 0. [ABSTRACT FROM AUTHOR]