Geodesic
Reflection of Willmore Surfaces with Free Boundaries
Canadian journal of mathematics, Tome 73 (2021) no. 3, pp. 787-804

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DOI

We study immersed surfaces in ${\mathbb R}^3$ that are critical points of the Willmore functional under boundary constraints. The two cases considered are when the surface meets a plane orthogonally along the boundary and when the boundary is contained in a line. In both cases we derive weak forms of the resulting free boundary conditions and prove regularity by reflection.
DOI : 10.4153/S0008414X20000164
Mots-clés : Willmore surfaces, free boundary problem 
Kuwert, Ernst; Lamm, Tobias. Reflection of Willmore Surfaces with Free Boundaries. Canadian journal of mathematics, Tome 73 (2021) no. 3, pp. 787-804. doi: 10.4153/S0008414X20000164
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     title = {Reflection of {Willmore} {Surfaces} with {Free} {Boundaries}},
     journal = {Canadian journal of mathematics},
     pages = {787--804},
     year = {2021},
     volume = {73},
     number = {3},
     doi = {10.4153/S0008414X20000164},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008414X20000164/}
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