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Volumn 165, Issue 3, 2002, Pages 187-242

A global method for relaxation in W1,p and in SBVp

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EID: 0036027322     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-002-0220-y     Document Type: Article
Times cited : (102)

References (30)
  • 1
    • 0000465804 scopus 로고
    • Existence theory for a new class of variational problems
    • AMBROSIO L.: Existence theory for a new class of variational problems. Arch. Rational Mech. Anal., 111, 291-322 (1990)
    • (1990) Arch. Rational Mech. Anal. , vol.111 , pp. 291-322
    • Ambrosio, L.1
  • 2
    • 0001005941 scopus 로고
    • On the lower semicontinuity of quasi-convex integrals in SBV
    • AMBROSIO L.: On the lower semicontinuity of quasi-convex integrals in SBV. Nonlinear Anal., 23, 405-425 (1994)
    • (1994) Nonlinear Anal. , vol.23 , pp. 405-425
    • Ambrosio, L.1
  • 3
    • 0001567090 scopus 로고
    • Functionals defined on partitions in sets of finite perimeter I: Integral representation and Γ-convergence
    • AMBROSIO L., BRAIDES A.: Functionals defined on partitions in sets of finite perimeter I: integral representation and Γ-convergence. J. Math. Pures et Appl., 69, 285-305 (1990)
    • (1990) J. Math. Pures et Appl. , vol.69 , pp. 285-305
    • Ambrosio, L.1    Braides, A.2
  • 5
    • 84968516183 scopus 로고
    • A general chain-rule for distributional derivatives
    • AMBROSIO L., DAL MASO G.: A general chain-rule for distributional derivatives. Proc. Am. Math. Soc., 108, 691-702 (1990)
    • (1990) Proc. Am. Math. Soc. , vol.108 , pp. 691-702
    • Ambrosio, L.1    Dal Maso, G.2
  • 6
    • 0003722380 scopus 로고    scopus 로고
    • Functions of bounded variation and free discontinuity problems
    • Oxford University Press
    • AMBROSIO L., FUSCO N., PALLARA D.: Functions of Bounded Variation and Free Discontinuity Problems. Mathematical Monographs, Oxford University Press, 2000
    • (2000) Mathematical Monographs
    • Ambrosio, L.1    Fusco, N.2    Pallara, D.3
  • 7
    • 0001031995 scopus 로고
    • Functionals with linear growth defined on vector valued BV functions
    • AMBROSIO L., MORTOLA S., TORTORELLI V.M.: Functionals with linear growth defined on vector valued BV functions. J. Math. Pures et Appl., 70, 269-323 (1991)
    • (1991) J. Math. Pures et Appl. , vol.70 , pp. 269-323
    • Ambrosio, L.1    Mortola, S.2    Tortorelli, V.M.3
  • 9
    • 0002234536 scopus 로고    scopus 로고
    • Regularization of a set function. Application to integral representation
    • BELLIEUD M., BOUCHITTÉ G.: Regularization of a set function. Application to integral representation. Ricerche di Matematica, 49, Supplemento 79-93 (2000)
    • (2000) Ricerche di Matematica , vol.49 , Issue.SUPPL. , pp. 79-93
    • Bellieud, M.1    Bouchitté, G.2
  • 12
    • 0004114463 scopus 로고    scopus 로고
    • Approximation of free-discontinuity problems
    • pringer-Verlag
    • BRAIDES A.: Approximation of free-discontinuity problems. Lectures Notes in Math. 1694, Springer-Verlag, 1999
    • (1999) Lectures Notes in Math. , vol.1694
    • Braides, A.1
  • 17
    • 0003238886 scopus 로고
    • Semicontinuity, relaxation and integral representation in the calculus of variations
    • John Wiley & Sons
    • BUTTAZZO G.: Semicontinuity, relaxation and integral representation in the calculus of variations. Pitman Research Notes in Mathematics Series, 207, John Wiley & Sons, 1989
    • (1989) Pitman Research Notes in Mathematics Series , vol.207
    • Buttazzo, G.1
  • 18
    • 0000015334 scopus 로고
    • Integral representation and relaxation of local functionals
    • BUTTAZZO G., DAL MASO G.: Integral representation and relaxation of local functionals. Nonlinear Anal. TMA, 9, 515-532 (1985)
    • (1985) Nonlinear Anal. TMA , vol.9 , pp. 515-532
    • Buttazzo, G.1    Dal Maso, G.2
  • 19
    • 0001140850 scopus 로고
    • A characterization of nonlinear functionals on Sobolev spaces which admit an integral representation with a Carathéodory integrand
    • BUTTAZZO G., DAL MASO G.: A characterization of nonlinear functionals on Sobolev spaces which admit an integral representation with a Carathéodory integrand. J. Math. Pures Appl., 64, 337-361 (1985)
    • (1985) J. Math. Pures Appl. , vol.64 , pp. 337-361
    • Buttazzo, G.1    Dal Maso, G.2
  • 21
    • 0012940630 scopus 로고
    • Further remarks on the lower semicontinuity of polyconvex integrals
    • CELADA P., DAL MASO G.: Further remarks on the lower semicontinuity of polyconvex integrals. Ann. Inst. Henri Poincaré, Ann. Non Lin., 11, 661-691 (1994)
    • (1994) Ann. Inst. Henri Poincaré, Ann. Non Lin. , vol.11 , pp. 661-691
    • Celada, P.1    Dal Maso, G.2
  • 22
    • 0031356324 scopus 로고    scopus 로고
    • Bulk and interfacial energy densities for structured deformations of continua
    • CHOKSI R., FONSECA I.: Bulk and interfacial energy densities for structured deformations of continua. Arch. Rational. Mech. Anal., 138, 37-103 (1997)
    • (1997) Arch. Rational. Mech. Anal. , vol.138 , pp. 37-103
    • Choksi, R.1    Fonseca, I.2
  • 23
    • 85067946483 scopus 로고
    • Direct methods in the calculus of variations
    • Springer-Verlag
    • DACOROGNA B.: Direct Methods in the Calculus of Variations. Applied Math. Sciences 78, Springer-Verlag, 1989
    • (1989) Applied Math. Sciences , vol.78
    • Dacorogna, B.1
  • 24
    • 0001531197 scopus 로고
    • Un nuovo tipo di funzionale del Calcolo delle Variazioni
    • DE GIORGI E., AMBROSIO L.: Un nuovo tipo di funzionale del Calcolo delle Variazioni. Atti Accad. Naz. Lincei, 82, 199-210 (1988)
    • (1988) Atti Accad. Naz. Lincei , vol.82 , pp. 199-210
    • De Giorgi, E.1    Ambrosio, L.2
  • 25
    • 0000532812 scopus 로고
    • Existence theorem for a minimum problem with free discontinuity set
    • DE GIORGI E., Carriero M., LEACI A.: Existence theorem for a minimum problem with free discontinuity set. Arch. Rational. Mech. Anal., 108, 195-218 (1989)
    • (1989) Arch. Rational. Mech. Anal. , vol.108 , pp. 195-218
    • De Giorgi, E.1    Carriero, M.2    Leaci, A.3
  • 26
    • 23044527736 scopus 로고    scopus 로고
    • On lower semicontinuity and relaxation
    • FONSECA I., LEONI G.: On lower semicontinuity and relaxation. Proc. Royal Soc. Edinburgh, 131A, 519-565 (2001)
    • (2001) Proc. Royal Soc. Edinburgh , vol.131 A , pp. 519-565
    • Fonseca, I.1    Leoni, G.2
  • 28
    • 0033432488 scopus 로고    scopus 로고
    • Lower semicontinuity in spaces of weakly differentiable functions
    • KRISTENSEN J.: Lower semicontinuity in spaces of weakly differentiable functions. Math. Ann., 313, 653-710 (1999)
    • (1999) Math. Ann. , vol.313 , pp. 653-710
    • Kristensen, J.1
  • 30
    • 0001346856 scopus 로고
    • Superfici cartesiane generalizzate ed insiemi di perimetro localmente finito sui prodotti cartesiani (Italian)
    • MIRANDA M.: Superfici cartesiane generalizzate ed insiemi di perimetro localmente finito sui prodotti cartesiani (Italian). Ann. Scuola Norm. Sup. Pisa, Sci. Fis. Mat., 18, 515-542 (1964)
    • (1964) Ann. Scuola Norm. Sup. Pisa, Sci. Fis. Mat. , vol.18 , pp. 515-542
    • Miranda, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.