题目:A Quantitative Constant Rank Theorem for Quasiconcave Solutions to Fully Nonlinear Elliptic Equations
报告人:徐露 教授 (湖南大学)
地点:腾讯会议室
时间:2021年10月26日 16:00-17:00
摘要: We investigate the fully nonlinear elliptic equations F(D^2u,Du,u,x) = 0, which satisfy the structural condition previously posed by Bianchini-Longinetti-Salani in 2009. By establishing a novel differential inequality, we prove a weak Harnack inequality for the principal curvatures of the level surfaces of the solutions. This result is indeed a quantitative version of the constant rank theorem showed by Guan-Xu in 2013.
腾讯会议:https://meeting.tencent.com/dm/cVdY0N8Kg21c
会议 ID:390 358 712
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