A remark on the L1-lower semicontinuity for integral functional in BV

Manuscripta Mathematica

Volumn 112, Issue 3, 2003, Pages 313-323

  Fusco, Nicola ^a   Giannetti, Flavia ^a   Verde, Anna ^a  

^a Dipartimento di Matematica e Applicazioni   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0344120244     PISSN: 00252611     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00229-003-0400-6     Document Type: Article

References (12)

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2. Ambrosio, L., Fusco, N., Pallara, D.: Functions of bounded variation and free discontinuity problems. Oxford University Press, 2000
3. De Cicco, V.: A lower semicontinuity result for functionals defined on BV(Ω). Ricerche di Matematica 39, 293-325 (1990)
4. 1(div; Ω) and its applications to lower semicontinuity. Preprint, 2002
5. De Giorgi, E.: Teoremi di semicontinuità nel calcolo delle variazioni. Istituto Nazionale di Alta Matematica, 1968-1969
6. De Giorgi, E., Buttazzo, G., Dal Maso, G.: On the lower semicontinuity of certain integral functions. Atti Accad. Naz. Lincei, Cl. Se. Fis. Mat. Natur. Rend. 74, 274-282 (1983)
7. Fonseca, I., Leoni, G.: Some remarks on lower semicontinuity. Indiana Univ. Math. J. 49, 617-635 (2000)
8. Fonseca, I., Leoni, G.: On lower semicontinuity and relaxation. Proc. R. Soc. Edim., Sect. A, Math. 131, 519-565 (2001)
9. Gori, M., Marcellini. P.: An extension of the Serrin's lower semicontinuity theorem. To appear on J. Convex Anal.
10. 1. Preprint, 2002
11. Serrin, J.: On the definition and properties of certain variational integrals. Trans. Am. Math. Soc. 161, 139-167 (1961)
12. Vol'pert, A.I.: Spaces BV and quasi-linear equations. Math. USSR Sb. 17, 225-267 (1967)