학술논문
Asymptotic analysis of a family of non-local functionals on sets.
Document Type
Article
Source
Subject
*FUNCTIONALS
Language
ISSN
1292-8119
Abstract
We study the asymptotic behavior of a family of functionals which penalize a short-range interaction of convolution type between a finite perimeter set and its complement. We first compute the pointwise limit and we obtain a lower estimate on more regulars sets. Finally, some examples are discussed. [ABSTRACT FROM AUTHOR]