Abstract

In this paper, we consider the Brezis-Nirenberg problem in dimension N?4, in the supercritical case. We prove that if the exponent gets close to N+2/N-2 and if, simultaneously, the bifurcation parameter tends to zero at the appropriate rate, then there are radial solutions which behave like a superposition of bubbles, namely solutions of the form A figure is presented. where Mj ? + ? and Mj = o(Mj+1) for all j. These solutions lie close to turning points "to the right" of the associated bifurcation diagram. © 2003 Elsevier Inc. All rights reserved.