“ Bubble-tower ” Radial Solutions in the Slightly Supercritical Brezis-nirenberg Problem

  title={“ Bubble-tower ” Radial Solutions in the Slightly Supercritical Brezis-nirenberg Problem},
  author={Manuel M S{\'a}nchez Del Pino and Jean Dolbeault and Monica Musso},
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 

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