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
偏微分方程研讨班
Speaker: 陈传强 教授(宁波大学)
Inviter: 邱国寰
Language: Chinese
Title: Strict power convexity of solutions to elliptic partial differential equations
Time & Venue: 2026年5月21日(星期四)10:00-11:00 & 思源楼 S813
Abstract: The convexity of solutions to elliptic partial differential equations is an important issue. In this talk, we establish some strict power convexity results for fully nonlinear PDEs using the Constant Rank Theorem method. This is joint work with Haohao Jia, Jiawei Xiong, and Yan Ma.
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Speaker: 孙玉华 教授(南开大学)
Inviter: 邱国寰
Language: Chinese
Title: Flow Decomposition method and Liouville theorems
Time & Venue: 2026年5月21日(星期四)11:00-12:00 & 思源楼 S813
Abstract: We investigate quasilinear differential inequalities on weighted graphs. Using a flow decomposition method, we establish a sharp integral volume condition that leads to Liouville-type theorems.
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