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Volumn 28, Issue 4, 2007, Pages 427-447

A chain rule formula in BV and application to lower semicontinuity

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EID: 33846518395     PISSN: 09442669     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00526-006-0048-7     Document Type: Article
Times cited : (25)

References (16)
  • 1
    • 84968516183 scopus 로고
    • A general chain rule for distributional derivatives
    • Ambrosio, L., Dal Maso, G.: A general chain rule for distributional derivatives. Proc. Amer. Math. Soc. 108, 691-702 (1990)
    • (1990) Proc. Amer. Math. Soc , vol.108 , pp. 691-702
    • Ambrosio, L.1    Dal Maso, G.2
  • 3
    • 0033450362 scopus 로고    scopus 로고
    • Divergence-measure fields and hyperbolic conservation laws
    • Chen, G.-Q., Frid, H.: Divergence-measure fields and hyperbolic conservation laws. Arch. Rational Mech. Anal. 147, 89-118 (1999)
    • (1999) Arch. Rational Mech. Anal , vol.147 , pp. 89-118
    • Chen, G.-Q.1    Frid, H.2
  • 4
    • 34250266442 scopus 로고
    • Integral representation on BV(Ω,;) of Γ-limits of variational integrals
    • Dal Maso, G.: Integral representation on BV(Ω,;) of Γ-limits of variational integrals. Man. Math. 30, 387-416 (1980)
    • (1980) Man. Math , vol.30 , pp. 387-416
    • Dal Maso, G.1
  • 5
    • 0013534970 scopus 로고
    • Lower semicontinuity for certain integral functional on BV(Ω,;)
    • De Cicco, V.: Lower semicontinuity for certain integral functional on BV(Ω,;). Boll. U.M.I. 5-B, 291-313 (1991)
    • (1991) Boll. U.M.I , vol.5-B , pp. 291-313
    • De Cicco, V.1
  • 7
    • 17044405914 scopus 로고    scopus 로고
    • 1-lower semicontinuity in BV. J. Convex Anal. 12, 173-185 (2005)
    • 1-lower semicontinuity in BV. J. Convex Anal. 12, 173-185 (2005)
  • 8
    • 0000245505 scopus 로고
    • Su una teoria generale della misura (r - 1)-dimensionale in uno spazio a r dimensioni
    • De Giorgi, E.: Su una teoria generale della misura (r - 1)-dimensionale in uno spazio a r dimensioni. Ann. Mat. Pura Appl. 36(4), 191-213 (1954)
    • (1954) Ann. Mat. Pura Appl , vol.36 , Issue.4 , pp. 191-213
    • De Giorgi, E.1
  • 11
    • 23044527736 scopus 로고    scopus 로고
    • Fonseca, I., Leoni, G.: On lower semicontinuity and relaxation. Proc. R. Soc. Edim., Sect. A, Math. 131, 519-565 (2001)
    • Fonseca, I., Leoni, G.: On lower semicontinuity and relaxation. Proc. R. Soc. Edim., Sect. A, Math. 131, 519-565 (2001)
  • 12
    • 0344120244 scopus 로고    scopus 로고
    • 1- lower semicontinuity for integral functionals in BV
    • 1- lower semicontinuity for integral functionals in BV, Manusc. Math. 112, 313-323 (2003)
    • (2003) Manusc. Math , vol.112 , pp. 313-323
    • Fusco, N.1    Giannetti, F.2    Verde, A.3
  • 13
    • 44449142735 scopus 로고    scopus 로고
    • A remark on Serrin's Theorem
    • to appear
    • Fusco, N., Gori, M., Maggi, F.: A remark on Serrin's Theorem. NoDEA (to appear)
    • NoDEA
    • Fusco, N.1    Gori, M.2    Maggi, F.3
  • 14
    • 0037005613 scopus 로고    scopus 로고
    • An extension of the Serrin's lower semicontinuity theorem
    • Gori, M., Marcellini, P.: An extension of the Serrin's lower semicontinuity theorem. J. Convex Anal. 9, 475-502 (2002)
    • (2002) J. Convex Anal , vol.9 , pp. 475-502
    • Gori, M.1    Marcellini, P.2
  • 16
    • 0000333677 scopus 로고
    • On the definition and properties of certain variational integrals
    • Serrin, J.: On the definition and properties of certain variational integrals. Trans. Amer. Math. Soc. 161, 139-167 (1961)
    • (1961) Trans. Amer. Math. Soc , vol.161 , pp. 139-167
    • Serrin, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.