Connected surfaces with boundary minimizing the Willmore energy
Author:
Publisher
American Institute of Mathematical Sciences (AIMS)
Subject
Applied Mathematics,Mathematical Physics,Analysis
Link
http://www.aimspress.com/article/10.3934/mine.2020024/pdf
Reference33 articles.
1. Local solutions to a free boundary problem for the Willmore functional;Alessandroni R, Kuwert E;Calc Var Partial Dif
2. Existence of minimizing Willmore surfaces of prescribed genus
3. Symmetric Willmore surfaces of revolution satisfying natural boundary conditions;Bergner M, Dall'Acqua A, Fröhlich S;Calc Var Partial Dif
4. Willmore surfaces of revolution with two prescribed boundary circles;Bergner M, Dall'Acqua A, Fröhlich S;J Geom Anal
5. Sufficient conditions for Willmore immersions in $\mathbb{R}^3$ to be minimal surfaces;Bergner M, Jakob R;Ann Glob Anal Geom
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1. On the convergence of the Willmore flow with Dirichlet boundary conditions;Nonlinear Analysis;2024-04
2. Direct Minimization of the Canham–Helfrich Energy on Generalized Gauss Graphs;The Journal of Geometric Analysis;2024-03-09
3. Stationary surfaces with boundaries;Annals of Global Analysis and Geometry;2022-05-31
4. Boundary value problems for a special Helfrich functional for surfaces of revolution: existence and asymptotic behaviour;Calculus of Variations and Partial Differential Equations;2021-01-18
5. On the Plateau–Douglas problem for the Willmore energy of surfaces with planar boundary curves;ESAIM: Control, Optimisation and Calculus of Variations;2021
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