Speaker: XIA Chao (Xiamen University)
Venue: Tencent Conference ID: 880-635-181 Password: 1025
Abstract: In this talk, we study stability of capillary CMC hypersurfaces. We prove that a capillary CMC hypersurface in a geodesic ball in space forms or a horoball in hyperbolic space is stable if and only if it is umbilical. In particular, the relationship between the stability problem and the estimate for the second Robin eigenvalue of the Jacobi operator will be mentioned. This is based on the joint work with Jinyu Guo and Guofang Wang.
Introduction of the speaker: XIA Chao, Professor and Doctoral Director of Xiamen University, Fujian Province Minjiang Scholar. His main research area is geometric analysis and nonlinear partial differential equations. He has made a series of influential works in related fields, and his results have been published in top international journals such as J. Differential Geom., Arch. Ration. Mech. Anal., Adv. Math., Math. Ann.,Trans. AMS, etc.