Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars
| | Speaker: | Han Hong,Tsinghua University
| | Inviter: | | Title:
| Stability of noncompact capillary surfaces and curvature estimate | Time & Venue:
| 2021.11.22 16:00-16:50 N208 室 | Abstract:
| In this talk, we will discuss stability results for noncompact capillary surfaces. A classical result in minimal surface theory says that a stable complete minimal surface in $\mathbb{R}^3$ must be a plane. We show that, under certain curvature assumptions, a weakly stable capillary surface in a 3-manifold with boundary has only three possible topological configurations. In particular, we prove that a weakly stable capillary surface in a half-space of $\mathbb{R}^3$ which is minimal or has the contact angle less than or equal to $\pi/2$ must be a half-plane. We will also talk about its application in curvature estimates.
| |
| |
优惠券领取后72小时内有效，10万种最新考研考试考证类电子打印资料任你选。涵盖全国500余所院校考研专业课、200多种职业资格考试、1100多种经典教材，产品类型包含电子书、题库、全套资料以及视频，无论您是考研复习、考证刷题，还是考前冲刺等，不同类型的产品可满足您学习上的不同需求。 ...考试优惠券 本站小编 Free壹佰分学习网 2022-09-19