中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
几何分析研讨班
Speaker: 张瑞珈 (中山大学)
Inviter: 杨明轩
Language: Chinese
Title:Pogorelov interior estimates for general sum-type Hessian equations
Time & Venue: 2026年5月12日16：00-17：00& 思源楼 S325
Abstract:We exploit the concavity of sums of Hessian operators to derive Pogorelov estimates for the corresponding equations under the dynamic semi-convexity assumption. Moreover, for k=n-1 and k=n, we establish Pogorelov estimates in the admissible cone. As applications, we obtain several Liouville-type results. This is based on joint work with Weisong Dong and Sirui Xu.-type theorems.
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