A refined blow-up analysis of the Brezis-Nirenberg equation and its application: The one-bubble case for $N\ge 4$

Rui He, Xiangqing Liu, Juncheng Wei +1

In this paper, we consider the famous Brezis-Nirenberg equation \begin{eqnarray*} \left\{ \aligned &-Δu=λu+|u|^{\frac{4}{N-2}}u,\quad&\mbox{in}\,\, Ω,\\ &u=0,\quad&\mbox{on}\,\, \p…