Special Session 14: 

Uniqueness of positive solutions of the Brezis-Nirenberg problems in thin spherical annular domains and its application

Naoki Shioji
Yokohama National University
Japan
Co-Author(s):    Kohtaro Watanabe
Abstract:
We study the uniqueness of a positive solution of the Brezis-Nirenberg problems in thin spherical annular domains by using the Pohozaev identities. As an application, we consider symmetry breaking bifurcations of the problems.