On spinorial analogue of Brezis-Nirenberg result and related topics
数学专题报告
报告题目(Title)：On spinorial analogue of Brezis-Nirenberg result and related topics
报告人(Speaker)：徐甜 副教授（天津大学）
地点(Place)：腾讯会议：292 966 597
时间(Time)：2021年12月3日 14：30~15：30
邀请人(Inviter)：陈昱
报告摘要
We study some basic analytical problems for nonlinear Dirac equations involving critical Sobolev exponents on compact spin manifolds. Their solutions are obtained as critical points of certain strongly indefinite functionals defined on H1/2-spinors. This problem is tightly related with the conformal spectral estimate for the smallest positive eigenvalue of the Dirac operator.
