Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | Prof. Song-Ying Li，University of California, Irvine
| | Inviter: | | Title:
| On the rigidity and regularity of harmonic functions and harmonic maps in the Bergman metrics | Time & Venue:
| 2021.11.29 10:00-11:00 Zoom meeting ID: 89296257400. Passcode: 101944 | Abstract:
| In this talk, we will study the rigidity and regularity problems on the harmonic functions in the Bergman metric and the proper harmonic maps between the balls in Cn and Cm in the Bergman metrics, respectively. It well known that the Laplace-Beltamin operator ?g in the Bergman metric is not a uniformly elliptic operator. The regularity for the solution of the Dirichelet boundary value problem becomes very interesting. We study the following problems including, the best regularity problem, rigidity problem and the asymptotic expansion problem. The talk will include my series joint works with my collaborators; Lei Ni, E. Somon, R-Y. Chen, D. N. Son and J. Luo.
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