2 papers
math.AP2025
Uniqueness and multiplicity of positive radial solutions to the super-critical Brezis-Nirenberg problem in an annulus
Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe
The super-critical Brezis-Nirenberg problem in an annulus is considered. The new uniqueness result of positive radial solutions is established for the three-dimensional case. It is…
math.AP2024
Uniqueness and multiple existence of positive radial solutions of the Brezis-Nirenberg Problem on annular domains in
Naoki Shioji, Satoshi Tanaka, Kohtaro Watanabe
The uniqueness and multiple existence of positive radial solutions to the Brezis-Nirenberg problem on a domain in the 3-dimensional unit sphere \begin{equation*} \l…