Special Session 7: Recent developments on nonlinear geometric PDEs
Classification of the Struwe decomposition of the Brezis-Nirenberg problem and its application: The one-bubble case
Yuanze Wu
School of Mathematics, Yunnan Normal University Peoples Rep of China
Co-Author(s): Rui He, Xiangqing Liu, Juncheng Wei
Abstract:
I will report our recent results on the classification of the Struwe decomposition of the Brezis-Nirenberg equation in high dimensions for the one-bubble case. I will also report the application of this refined analysis in constructing nontrivial solutions of the Brezis-Nirenberg equation.