On some recent developments of the theory of sets of finite perimeter

Luigi Ambrosio

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (2003)

  • Volume: 14, Issue: 3, page 179-187
  • ISSN: 1120-6330

Abstract

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In this paper we describe some recent progress on the theory of sets of finite perimeter, currents, and rectifiability in metric spaces. We discuss the relation between intrinsic and extrinsic theories for rectifiability

How to cite

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Ambrosio, Luigi. "On some recent developments of the theory of sets of finite perimeter." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 14.3 (2003): 179-187. <http://eudml.org/doc/252275>.

@article{Ambrosio2003,
abstract = {In this paper we describe some recent progress on the theory of sets of finite perimeter, currents, and rectifiability in metric spaces. We discuss the relation between intrinsic and extrinsic theories for rectifiability},
author = {Ambrosio, Luigi},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Sets of finite perimeter; BV functions; Currents; Rectifiability; Plateau problem; sets of finite perimeter; currents; rectifiability; plateau problem},
language = {eng},
month = {9},
number = {3},
pages = {179-187},
publisher = {Accademia Nazionale dei Lincei},
title = {On some recent developments of the theory of sets of finite perimeter},
url = {http://eudml.org/doc/252275},
volume = {14},
year = {2003},
}

TY - JOUR
AU - Ambrosio, Luigi
TI - On some recent developments of the theory of sets of finite perimeter
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 2003/9//
PB - Accademia Nazionale dei Lincei
VL - 14
IS - 3
SP - 179
EP - 187
AB - In this paper we describe some recent progress on the theory of sets of finite perimeter, currents, and rectifiability in metric spaces. We discuss the relation between intrinsic and extrinsic theories for rectifiability
LA - eng
KW - Sets of finite perimeter; BV functions; Currents; Rectifiability; Plateau problem; sets of finite perimeter; currents; rectifiability; plateau problem
UR - http://eudml.org/doc/252275
ER -

References

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  2. AMBROSIO, L., Fine properties of sets of finite perimeter in doubling metric measure spaces. Set Valued Analysis, to appear. Zbl1037.28002MR1926376DOI10.1023/A:1016548402502
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  4. AMBROSIO, L. - KIRCHHEIM, B., Currents in metric spaces. Acta Math., 185, 2000, 1-80. Zbl0984.49025MR1794185DOI10.1007/BF02392711
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  14. FRANCHI, B. - SERAPIONI, R. - SERRA CASSANO, F., On the structure of finite perimeter sets in step 2 Carnot groups. Preprint. Zbl1064.49033MR1984849DOI10.1007/BF02922053
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