2 papers
math.AP2025
On Brezis-Nirenberg problems: open questions and new results in dimension six
Fengliu Li, Giusi Vaira, Juncheng Wei +1
In this paper, we consider the Brezis-Nirenberg problem \begin{equation*} \left\{\begin{aligned} &-Îu = λu+|u|^{2^*-2}u, \quad &\mbox{in}\,Ω,\\ &u=0,\quad &\mbox{on}\, \partialÎ…
math.AP2025
Construction of bubbling solutions of the Brezis-Nirenberg problem in general bounded domains (I): the dimensions 4 and 5
Fengliu Li, Giusi Vaira, Juncheng Wei +1
In this paper, we consider the Brezis-Nirenberg problem $$ -Îu=λu+|u|^{\frac{4}{N-2}}u,\quad\mbox{in}\,\, Ω,\quad u=0,\quad\mbox{on}\,\, \partialΩ, $$ where ,…