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Volumn 79, Issue 10, 2000, Pages 1011-1028

On the relaxation of nonconvex superficial integral functionals

Author keywords

Integral with respect to an Hausdorff measure; Low dimensional structure; Quasiconvexity; Relaxation

Indexed keywords


EID: 0034360554     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-7824(00)01184-3     Document Type: Article
Times cited : (6)

References (16)
  • 1
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    • (1991) J. Elasticity , vol.25 , pp. 137-148
    • Acerbi, A.1    Buttazzo, G.2    Percivale, D.3
  • 2
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    • Semicontinuity problems in calculus of variation
    • E. Acerbi and N. Fusco, Semicontinuity problems in calculus of variation, Arch. Rational Mech. Anal. 86 (1984) 125-145.
    • (1984) Arch. Rational Mech. Anal. , vol.86 , pp. 125-145
    • Acerbi, E.1    Fusco, N.2
  • 4
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    • 1,p qasiconvexity and variational problems for multiple integrals
    • 1,p qasiconvexity and variational problems for multiple integrals, J. Funct. Anal. 58 (1984) 225-253.
    • (1984) J. Funct. Anal. , vol.58 , pp. 225-253
    • Ball, J.M.1    Murat, F.2
  • 5
    • 0002969857 scopus 로고    scopus 로고
    • Energies with respect to a measure and applications to low dimensional structures
    • G. Bouchitté, G. Buttazzo and P. Seppecher, Energies with respect to a measure and applications to low dimensional structures, Calc. Var. Part. Diff. Equ. 5 (1997) 37-54.
    • (1997) Calc. Var. Part. Diff. Equ. , vol.5 , pp. 37-54
    • Bouchitté, G.1    Buttazzo, G.2    Seppecher, P.3
  • 6
    • 0003211244 scopus 로고
    • Convex analysis and measurable multifunction
    • Springer-Verlag, New York
    • C. Castaing and M. Valadier, Convex analysis and measurable multifunction, Lectures Notes in Math., Vol. 580, Springer-Verlag, New York, 1977.
    • (1977) Lectures Notes in Math. , vol.580
    • Castaing, C.1    Valadier, M.2
  • 8
    • 34250266442 scopus 로고
    • Integral representation on BV(ω) of f-limits of variational integrals
    • G. Dal Maso, Integral representation on BV(ω) of f-limits of variational integrals, Manuscripta Math. 30 (1980) 387-416.
    • (1980) Manuscripta Math. , vol.30 , pp. 387-416
    • Dal Maso, G.1
  • 13
    • 0000312494 scopus 로고
    • The nonlinear membrane model as variational limit of nonlinear three-dimensional elasticity
    • H. Le Dret and A. Raoult, The nonlinear membrane model as variational limit of nonlinear three- dimensional elasticity, J. Math. Pures Appl. 74 (1995) 549-578.
    • (1995) J. Math. Pures Appl. , vol.74 , pp. 549-578
    • Le Dret, H.1    Raoult, A.2
  • 14
    • 1842611371 scopus 로고    scopus 로고
    • The membrane shell model in nonlinear elasticity: A variational asymptotic derivation
    • H. Le Dret and A. Raoult, The membrane shell model in nonlinear elasticity: A variational asymptotic derivation, J. Nonlinear Sci. 6 (1996) 59-84.
    • (1996) J. Nonlinear Sci. , vol.6 , pp. 59-84
    • Le Dret, H.1    Raoult, A.2
  • 16
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    • Quasiconvexity and the semicontinuity of multiple integrals
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    • (1952) Pacific J. Math. , vol.2 , pp. 25-53
    • Morrey, C.B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.