Geodesic
Integral representation results in BV×L p
Carita, Graça1 ; Zappale, Elvira2
1 CIMA-UE, Departamento de Matemática, Universidade de Évora, Rua Romão Ramalho, 59 7000 671 Évora, Portugal.
2 D.I.In., Universita’ degli Studi di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1555-1599

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Integral representation results are obtained for the relaxation of some classes of energy functionals depending on two vector fields with different behaviors, which may appear in the context of image decomposition and thermochemical equilibrium problems.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2016065
Classification : 49J45, 74Q05
Keywords: Relaxation, convexity-quasiconvexity, functions of bounded variation

Carita, Graça 1 ; Zappale, Elvira 2

1 CIMA-UE, Departamento de Matemática, Universidade de Évora, Rua Romão Ramalho, 59 7000 671 Évora, Portugal.
2 D.I.In., Universita’ degli Studi di Salerno, via Giovanni Paolo II 132, 84084 Fisciano (SA), Italy. 
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     author = {Carita, Gra\c{c}a and Zappale, Elvira},
     title = {Integral representation results in $BV \times{} L^{p}$},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {1555--1599},
     publisher = {EDP-Sciences},
     volume = {23},
     number = {4},
     year = {2017},
     doi = {10.1051/cocv/2016065},
     zbl = {1381.49007},
     mrnumber = {3716933},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/cocv/2016065/}
}
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Carita, Graça; Zappale, Elvira. Integral representation results in $BV \times{} L^{p}$. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1555-1599. doi: 10.1051/cocv/2016065

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