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Volumn 13, Issue 2, 2007, Pages 396-412

A relaxation result in BV for integral functionals with discontinuous integrands

Author keywords

Blow up; BV functions; Lower semicontinuity; Relaxation

Indexed keywords

RELAXATION PROCESSES; SPATIAL VARIABLES CONTROL; THEOREM PROVING;

EID: 34547513464     PISSN: 12928119     EISSN: 12623377     Source Type: Journal    
DOI: 10.1051/cocv:2007015     Document Type: Article
Times cited : (27)

References (22)
  • 1
    • 44449139432 scopus 로고    scopus 로고
    • Relaxation in BV for a class of functionals without continuity assumptions
    • to appear
    • M. Amar and V. De Cicco, Relaxation in BV for a class of functionals without continuity assumptions. NoDEA (to appear).
    • NoDEA
    • Amar, M.1    De Cicco, V.2
  • 4
    • 34547552688 scopus 로고
    • Semicontinuity, Relaxation and Integral Representation Problems in the Calculus of Variations. Pitman Res
    • Longman, Harlow
    • G. Buttazzo, Semicontinuity, Relaxation and Integral Representation Problems in the Calculus of Variations. Pitman Res. Notes Math., Longman, Harlow (1989).
    • (1989) Notes Math
    • Buttazzo, G.1
  • 5
    • 34250266442 scopus 로고
    • Integral representation on BV(Ω) of Γ-limits of variational integrals
    • G. Dal Maso, Integral representation on BV(Ω) of Γ-limits of variational integrals. Manuscripta Math. 30 (1980) 387-416.
    • (1980) Manuscripta Math , vol.30 , pp. 387-416
    • Dal Maso, G.1
  • 8
    • 33846518395 scopus 로고    scopus 로고
    • A chain rule formula in BV(Ω) and its applications to lower semicontinuity
    • V. De Cicco, N. Fusco and A. Verde, A chain rule formula in BV(Ω) and its applications to lower semicontinuity. Calc. Var. Partial Differ. Equ. 28 (2007) 427-447.
    • (2007) Calc. Var. Partial Differ. Equ , vol.28 , pp. 427-447
    • De Cicco, V.1    Fusco, N.2    Verde, A.3
  • 14
    • 0000696567 scopus 로고    scopus 로고
    • Some remarks on lower semicontinuity
    • I. Fonseca and G. Leoni, Some remarks on lower semicontinuity. Indiana Univ. Math. J. 49 (2000) 617-635.
    • (2000) Indiana Univ. Math. J , vol.49 , pp. 617-635
    • Fonseca, I.1    Leoni, G.2
  • 18
    • 34147181590 scopus 로고    scopus 로고
    • A remark on Serrin's Theorem
    • N. Fusco, M. Gori and F. Maggi, A remark on Serrin's Theorem. NoDEA 13 (2006) 425-433.
    • (2006) NoDEA , vol.13 , pp. 425-433
    • Fusco, N.1    Gori, M.2    Maggi, F.3
  • 20
    • 0037005613 scopus 로고    scopus 로고
    • An extension of the Serrin's lower semicontinuity theorem
    • M. Gori and P. Marcellini, An extension of the Serrin's lower semicontinuity theorem. J. Convex Anal. 9 (2002) 475-502.
    • (2002) J. Convex Anal , vol.9 , pp. 475-502
    • Gori, M.1    Marcellini, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.