研讨班报告

偏微分方程研讨班:Strict power convexity of solutions to elliptic partial differential equations

发布时间:2026-05-21

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: 2026521日(星期四)1000-1100 &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: 2026521日(星期四)1100-1200 &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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