@article {2012,
	title = {Asymptotics of the s-perimeter as  s {\textrightarrow}0 },
	journal = {Discrete Contin. Dyn. Syst. 33, nr.7 (2012): 2777-2790},
	number = {arXiv:1204.0750v2;},
	year = {2012},
	publisher = {American Institute of Mathematical Sciences},
	abstract = {<p>We deal with the asymptotic behavior of the $s$-perimeter of a set $E$ inside a domain $\Omega$ as $s\searrow0$. We prove necessary and sufficient conditions for the existence of such limit, by also providing an explicit formulation in terms of the Lebesgue measure of $E$ and $\Omega$. Moreover, we construct examples of sets for which the limit does not exist.</p>},
	doi = {10.3934/dcds.2013.33.2777},
	author = {Serena Dipierro and Alessio Figalli and Giampiero Palatucci and Enrico Valdinoci}
}
