In this paper we review some recent results concerning the asymptotics of a fractional perimeter and the regularity of the corresponding minimizers. We also provide an elementary example of set with infinite s-perimeter.
Asymptotics of fractional perimeter functionals and related problems / S. Dipierro. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - 72:1-2(2014), pp. 3-16.
Asymptotics of fractional perimeter functionals and related problems
S. DipierroPrimo
2014
Abstract
In this paper we review some recent results concerning the asymptotics of a fractional perimeter and the regularity of the corresponding minimizers. We also provide an elementary example of set with infinite s-perimeter.
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