On a free boundary problem and minimal surfaces
نویسندگان
چکیده
منابع مشابه
On a free boundary problem and minimal surfaces
From minimal surfaces such as Simons’ cone and catenoids, using refined Lyapunov-Schmidt reduction method, we construct new solutions for a free boundary problem whose free boundary has two components. In dimension 8, using variational arguments, we also obtain solutions which are global minimizers of the corresponding energy functional. This shows that Savin’s theorem [43] is optimal.
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ژورنال
عنوان ژورنال: Annales de l'Institut Henri Poincaré C, Analyse non linéaire
سال: 2018
ISSN: 0294-1449
DOI: 10.1016/j.anihpc.2017.09.005