|Publication ahead of print|
|Published online||08 August 2017|
Integral representation results in BV × Lp
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.
Received: 21 November 2015
Revised: 20 September 2016
Accepted: 23 September 2016
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.
Mathematics Subject Classification: 49J45 / 74Q05
Key words: Relaxation / convexity-quasiconvexity / functions of bounded variation
© EDP Sciences, SMAI 2017
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