Minimal surfaces with partially free boundary
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 Academiae Scientiarum Fennicae Series A I Mathematica
سال: 1971
ISSN: 0066-1953
DOI: 10.5186/aasfm.1971.483