This paper is devoted to the relaxation and integral representation in the space of functions of bounded variation for an integral energy arising from optimal design problems. The presence of a perimeter penalization is also considered in order to avoid non-existence of admissible solutions and, in addition, this leads to an interaction in the limit energy. More general models have also been taken into account.

Relaxation for an optimal design problem with linear growth and perimeter penalization / Graça, Carita; Zappale, Elvira. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 145:2(2015), pp. 223-268. [10.1017/S0308210513001479]

Relaxation for an optimal design problem with linear growth and perimeter penalization

ZAPPALE, ELVIRA
2015

Abstract

This paper is devoted to the relaxation and integral representation in the space of functions of bounded variation for an integral energy arising from optimal design problems. The presence of a perimeter penalization is also considered in order to avoid non-existence of admissible solutions and, in addition, this leads to an interaction in the limit energy. More general models have also been taken into account.
2015
optimal design; perimeters
01 Pubblicazione su rivista::01a Articolo in rivista
Relaxation for an optimal design problem with linear growth and perimeter penalization / Graça, Carita; Zappale, Elvira. - In: PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH. SECTION A. MATHEMATICS. - ISSN 0308-2105. - 145:2(2015), pp. 223-268. [10.1017/S0308210513001479]
File allegati a questo prodotto
File Dimensione Formato  
Carita_relaxation_2015.pdf

solo gestori archivio

Tipologia: Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza: Tutti i diritti riservati (All rights reserved)
Dimensione 439.97 kB
Formato Adobe PDF
439.97 kB Adobe PDF   Contatta l'autore

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1458184
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 7
social impact