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  The n-dimensional analogue of the catenary: Prescribed area

Huisken, G., & Dierkes, U. (1996). The n-dimensional analogue of the catenary: Prescribed area. In J. Jost (Ed.), Geometric analysis and the calculus of variations (pp. 1-12). Cambridge: International Press.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B74-E Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5B75-C
Genre: Book Chapter

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332718.pdf (Any fulltext), 114KB
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 Creators:
Huisken, Gerhard1, Author              
Dierkes, Ulrich, Author
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:24012              

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 Abstract: We study ”heavy” n–dimensional surfaces which are suspended from some given boundary data ϕ and have prescribed surface area A. Using a fixed point argument we show existence of a solution provided A is close to the area of the corresponding minimal surface spanned by ϕ.

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 Dates: 1996
 Publication Status: Published in print
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 Identifiers: eDoc: 332718
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Title: Geometric analysis and the calculus of variations
Source Genre: Book
 Creator(s):
Jost, J., Editor
Affiliations:
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Publ. Info: Cambridge : International Press
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 1 - 12 Identifier: -