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The Willmore functional and the containment problem in R4

✍ Scribed by Jia-zu Zhou

Book ID: 107347528
Publisher: SP Science China Press
Year: 2007
Tongue: English
Weight: 200 KB
Volume: 50
Category: Article
ISSN: 1674-7283
DOI: 10.1007/s11425-007-0029-0

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## Abstract Let \input amssym $S\subset{\Bbb R}^2$ be a bounded domain with boundary of class __C__^∞^, and let __g__~__ij__~ = δ~__ij__~ denote the flat metric on \input amssym ${\Bbb R}^2$. Let __u__ be a minimizer of the Willmore functional within a subclass (defined by prescribing boundary cond