Connected surfaces with boundary minimizing the Willmore energy
For a given family of smooth closed curves $γ^1,...,γ^\alpha⊂\mathbb{R}^3$ we consider the problem of finding an elastic <em>connected</em> compact surface $M$ with boundary $γ=γ^1\cup...\cupγ^\alpha$. This is realized by minimizing the Willmore energy $\mathcal{W}$ on a suitable class o...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2020-05-01
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| Series: | Mathematics in Engineering |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/10.3934/mine.2020024/fulltext.html |