naa a22 4500 510810454 CHVBK 20180411083440.0 cr unu---uuuuu 180411e20130101xx s 000 0 eng 10.1007/s12220-011-9248-2 doi (NATIONALLICENCE)springer-10.1007/s12220-011-9248-2 Willmore Surfaces of Revolution with Two Prescribed Boundary Circles [Elektronische Daten] [Matthias Bergner, Anna Dall'Acqua, Steffen Fröhlich] We consider the family of smooth embedded surfaces of revolution inℝ3 having two concentric circles contained in two parallel planes of ℝ3 as boundary. Minimizing the Willmore functional within this class of surfaces we prove the existence of smooth axi-symmetric Willmore surfaces having these circles as boundary. When the radii of the circles tend to zero we prove convergence of these solutions to the round sphere. Mathematica Josephina, Inc., 2011 Natural boundary conditions nationallicence Willmore surface nationallicence Surface of revolution nationallicence Bergner Matthias Institut für Differentialgeometrie, Gottfried Wilhelm Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany aut Dall'Acqua Anna Fakultät für Mathematik, Otto-von-Guericke-Universität, Universitätsplatz 2, 39016, Magdeburg, Germany aut Fröhlich Steffen FB08 Institut für Mathematik, Johannes Gutenberg-Universität Mainz, Staudingerweg 9, 55099, Mainz, Germany aut Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 283-302 1050-6926 23:1<283 2013 23 12220 https://doi.org/10.1007/s12220-011-9248-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-011-9248-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Bergner Matthias Institut für Differentialgeometrie, Gottfried Wilhelm Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany aut NATIONALLICENCE 700 1- Dall'Acqua Anna Fakultät für Mathematik, Otto-von-Guericke-Universität, Universitätsplatz 2, 39016, Magdeburg, Germany aut NATIONALLICENCE 700 1- Fröhlich Steffen FB08 Institut für Mathematik, Johannes Gutenberg-Universität Mainz, Staudingerweg 9, 55099, Mainz, Germany aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer-Verlag 23/1(2013-01-01), 283-302 1050-6926 23:1<283 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer