Capillary surfaces inside polyhedral regions

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• 作者：Antonio Alarcón ; Rabah Souam
• 关键词：53A10 ; 49Q10 ; 53C42 ; 76B45
• 刊名：Calculus of Variations and Partial Differential Equations
• 出版年：2015
• 出版时间：October 2015
• 年：2015
• 卷：54
• 期：2
• 页码：2149-2166
• 全文大小：552 KB
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• 作者单位：Antonio Alarcón (1)
  Rabah Souam (2)
  
  1. Departamento de Geometría y Topología, Universidad de Granada, Campus de Fuentenueva s/n, 18071, Granada, Spain
  2. Institut de Mathématiques de Jussieu-Paris Rive Gauche, UMR 7586, Batiment Sophie Germain, Case 7012, 75205, Paris Cedex 13, France
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Systems Theory and Control
  Calculus of Variations and Optimal Control
  Mathematical and Computational Physics
  
• 出版者：Springer Berlin / Heidelberg
• ISSN：1432-0835

文摘

In this paper we provide a large new family of embedded capillary surfaces inside polyhedral regions in the Euclidean space. The angle of contact of the examples we furnish lies in \([\frac{\pi }{2}, \pi ]\) and it is allowed to vary from one boundary component to the other. Mathematics Subject Classification 53A10 49Q10 53C42 76B45