期刊
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
卷 37, 期 3-4, 页码 275-302出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-009-0244-3
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资金
- DFG Sonderforschungsbereich 611
- European Community [HPRN-CT-2002-00274]
- FRONTS-SINGULARITIES
- DFG Forschergruppe 469
We consider the Euler-Lagrange equation of the Willmore functional coupled with Dirichlet and Neumann boundary conditions on a given curve. We prove existence of a branched solution, and for Willmore energy < 8 pi, we prove the existence of a smooth, embedded solution.
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