Geodesic
On Willmore Surfaces of Revolution in $\mathbb{R}^3$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 887-890

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In this paper, we study Euler–Lagrange equation for the Willmore functional in the case of surfaces of revolution. Explicit solutions are constructed in terms of elliptic functions.
Keywords: Willmore surface
Mots-clés : exact solution. 
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     author = {S. M. Cherosova and E. I. Shamaev},
     title = {On {Willmore} {Surfaces} of {Revolution} in $\mathbb{R}^3$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {887--890},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a43/}
}
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S. M. Cherosova; E. I. Shamaev. On Willmore Surfaces of Revolution in $\mathbb{R}^3$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 887-890. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a43/