A sharp bound for the area of minimal surfaces in the unit ball
Author:
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00039-012-0167-6.pdf
Reference8 articles.
1. Allard W.: On the first variation of a varifold. Annals of Mathematics 95, 417–491 (1972)
2. Almgren F.J. Jr: Existence and regularity almost everywhere of solutions to elliptic variational problems among surfaces of varying topological type and singularity structure. Annals of Mathematics 87, 321–391 (1968)
3. Ecker K.: A local monotonicity formula for mean curvature flow. Annals of Mathematics 154, 503–525 (2001)
4. kholm T. E, White B., Wienholtz D.: Embeddedness of minimal surfaces with total boundary curvature at most 4πl. Annals of Mathematics 155, 209–234 (2002)
5. Fraser A., Schoen R.: The first Steklov eigenvalue, conformal geometry, and minimal surfaces. Advances in Mathematics 226, 4011–4030 (2011)
Cited by 29 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On the Areas of Genus Zero Free Boundary Minimal Surfaces Embedded in the Unit 3-Ball;The Journal of Geometric Analysis;2024-06-27
2. From Steklov to Laplace: free boundary minimal surfaces with many boundary components;Duke Mathematical Journal;2024-06-01
3. Area Rigidity for the Equatorial Disk in the Ball;The Journal of Geometric Analysis;2024-04-25
4. Muckenhoupt-Type Weights in Bessel Setting;The Journal of Geometric Analysis;2024-04-25
5. Rigidity and vanishing theorems for submanifolds with free boundary in the unit ball;Bulletin of the London Mathematical Society;2024-03-15
1.学者识别学者识别
2.学术分析学术分析
3.人才评估人才评估
"同舟云学术"是以全球学者为主线，采集、加工和组织学术论文而形成的新型学术文献查询和分析系统，可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容，当前同舟云学术共收录了国内外主流学术期刊6万余种，收集的期刊论文及会议论文总量共计约1.5亿篇，并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询！咨询电话：010-8811{复制后删除}0370
www.globalauthorid.com
TOP
Copyright © 2019-2024 北京同舟云网络信息技术有限公司 京公网安备11010802033243号 京ICP备18003416号-3