Minimizing cones for fractional capillarity problems
نویسندگان
چکیده
We consider a fractional version of Gauß capillarity energy. A suitable extension problem is introduced to derive boundary monotonicity formula for local minimizers this As consequence, blow-up limits are shown subsequentially converge minimizing cones. Finally, we show that in the planar case there only one possible cone, determined by Young’s law.
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ژورنال
عنوان ژورنال: Revista Matematica Iberoamericana
سال: 2021
ISSN: ['2235-0616', '0213-2230']
DOI: https://doi.org/10.4171/rmi/1289