Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	沈伟明，首都师范大学
Inviter:	王哲辉
Title:	The Loewner-Nirenberg problem in singular cones
Time & Venue:	2022.09.23 15:00-16:00 思源楼 S525
Abstract:	In this talk，I will report our work on asymptotic behaviors of solutions to the Loewner-Nirenberg problem in finite cones. The spherical domains over which cones are formed are allowed to have singularities. An elliptic operator on such spherical domains with coefficients singular on boundary play an important role. Due to the singularity of the spherical domains, extra cares are needed for the study of the global regularity of the eigenfunctions and solutions of the associated singular Dirichlet problem.