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Volumn 127, Issue 4, 1997, Pages 797-817

Lower semicontinuity in Sobolev spaces below the growth exponent of the integrand

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EID: 21744459365     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0308210500023830     Document Type: Article
Times cited : (22)

References (33)
  • 1
    • 0013172961 scopus 로고
    • New lower semicontinuity results for polyconvex integrals
    • E. Acerbi and G. Dal Maso. New lower semicontinuity results for polyconvex integrals. Calc. Var. 2 (1994), 329-72.
    • (1994) Calc. Var. , vol.2 , pp. 329-372
    • Acerbi, E.1    Dal Maso, G.2
  • 2
    • 34250138457 scopus 로고
    • Semicontinuity problems in the calculus of variations
    • E. Acerbi and F. Fusco. Semicontinuity problems in the calculus of variations. Arch. Rational Mech. Anal. 86 (1984), 125-45.
    • (1984) Arch. Rational Mech. Anal. , vol.86 , pp. 125-145
    • Acerbi, E.1    Fusco, F.2
  • 3
  • 5
    • 0017417265 scopus 로고
    • Convexity conditions and existence theorems in nonlinear elasticity
    • J. M. Ball. Convexity conditions and existence theorems in nonlinear elasticity. Arch. Rational Mech. Anal. 63 (1977), 337-403.
    • (1977) Arch. Rational Mech. Anal. , vol.63 , pp. 337-403
    • Ball, J.M.1
  • 6
    • 48549111166 scopus 로고
    • t,p quasiconvexity and variational problems for mutiple integrals
    • t,p quasiconvexity and variational problems for mutiple integrals. J. Funct. Anal. 58 (1984), 225-53.
    • (1984) J. Funct. Anal. , vol.58 , pp. 225-253
    • Ball, J.M.1    Murat, F.2
  • 8
    • 0012940630 scopus 로고
    • Further remarks on the lower semicontinuity of polyconvex integrals
    • P. Celada and G. Dal Maso. Further remarks on the lower semicontinuity of polyconvex integrals. Ann. Inst. H. Poincaré Anal. Non Linéaire 11 (1995), 661-91.
    • (1995) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.11 , pp. 661-691
    • Celada, P.1    Dal Maso, G.2
  • 9
    • 85067946483 scopus 로고
    • Direct Methods in the Calculus of Variations
    • Berlin: Springer
    • B. Dacorogna. Direct Methods in the Calculus of Variations, Applied Mathematical Sciences 78 (Berlin: Springer, 1989).
    • (1989) Applied Mathematical Sciences , vol.78
    • Dacorogna, B.1
  • 10
    • 0039241765 scopus 로고
    • Semicontinuité pour des intégrandes polyconvexes sans continuité des determinants
    • B. Dacorogna and P. Marcellini. Semicontinuité pour des intégrandes polyconvexes sans continuité des determinants. C. R. Acad. Sci. Paris Sér. I Math. 311 (1990), 393-6.
    • (1990) C. R. Acad. Sci. Paris Sér. I Math. , vol.311 , pp. 393-396
    • Dacorogna, B.1    Marcellini, P.2
  • 11
    • 51249168397 scopus 로고
    • Weak lower semicontinuity of polyconvex integrals: A borderline case
    • G. Dal Maso and C. Sbordone. Weak lower semicontinuity of polyconvex integrals: a borderline case. Math. Z. 218 (1995), 603-9.
    • (1995) Math. Z. , vol.218 , pp. 603-609
    • Dal Maso, G.1    Sbordone, C.2
  • 13
    • 84963032102 scopus 로고
    • On the rate of growth of mean values of holomorphic and harmonic functions
    • T. M. Flett. On the rate of growth of mean values of holomorphic and harmonic functions. Proc. London Math. Soc. 20 (1970), 748-68.
    • (1970) Proc. London Math. Soc. , vol.20 , pp. 748-768
    • Flett, T.M.1
  • 18
    • 0039241766 scopus 로고
    • On the weak lower semicontinuity of energies with polyconvex integrands
    • W. Gangho. On the weak lower semicontinuity of energies with polyconvex integrands. J. Math. Pures Appl. 73 (1994), 455-69.
    • (1994) J. Math. Pures Appl. , vol.73 , pp. 455-469
    • Gangho, W.1
  • 21
    • 84972048189 scopus 로고
    • Weak lower semicontinuity of polyconvex integrals
    • J. Malý. Weak lower semicontinuity of polyconvex integrals. Proc. Roy. Soc. Edinburgh Sect. A 123 (1993), 681-91.
    • (1993) Proc. Roy. Soc. Edinburgh Sect. A , vol.123 , pp. 681-691
    • Malý, J.1
  • 23
    • 51249163005 scopus 로고
    • Lower semicontinuity of quasiconvex integrals
    • J. Malý. Lower semicontinuity of quasiconvex integrals. Manuscripta Math. 85 (1994), 419-28.
    • (1994) Manuscripta Math. , vol.85 , pp. 419-428
    • Malý, J.1
  • 24
    • 0002683104 scopus 로고
    • Approximation of quasiconvex functions and lower semicontinuity of multiple integrals
    • P. Marcellini. Approximation of quasiconvex functions and lower semicontinuity of multiple integrals. Manuscripta Math. 51 (1985), 1-28.
    • (1985) Manuscripta Math. , vol.51 , pp. 1-28
    • Marcellini, P.1
  • 25
    • 84939899330 scopus 로고
    • On the definition and the lower semicontinuity of certain quasiconvex integrals
    • P. Marcellini. On the definition and the lower semicontinuity of certain quasiconvex integrals. Ann. Inst. H. Poincaré, Anal. Non Linéaire 3 (1986), 391-409.
    • (1986) Ann. Inst. H. Poincaré, Anal. Non Linéaire , vol.3 , pp. 391-409
    • Marcellini, P.1
  • 26
    • 84968503702 scopus 로고
    • Quasiconvexity and the semicontinuity of multiple variational integrals of any order
    • N. G. Meyers. Quasiconvexity and the semicontinuity of multiple variational integrals of any order. Trans. Amer. Math. Soc. 119 (1965), 125-49.
    • (1965) Trans. Amer. Math. Soc. , vol.119 , pp. 125-149
    • Meyers, N.G.1
  • 27
    • 84972497511 scopus 로고
    • Quasiconvexity and the semicontinuity of multiple integrals
    • C. B. Morrey. Quasiconvexity and the semicontinuity of multiple integrals. Pacific J. Math. 2 (1952), 25-53.
    • (1952) Pacific J. Math. , vol.2 , pp. 25-53
    • Morrey, C.B.1
  • 30
    • 84974157879 scopus 로고
    • Rank-one convexity does not imply quasiconvexity
    • V. Šverák. Rank-one convexity does not imply quasiconvexity. Proc. Roy. Soc. Edinburgh Sect. A 120 (1992), 185-9.
    • (1992) Proc. Roy. Soc. Edinburgh Sect. A , vol.120 , pp. 185-189
    • Šverák, V.1
  • 31
    • 0000457016 scopus 로고
    • On the theory of Lipschitz spaces of distributions of Euclidean n-space. I. Principal properties
    • M. H. Taibleson. On the theory of Lipschitz spaces of distributions of Euclidean n-space. I. Principal properties. J. Math. Mech. 13 (1964), 407-79;
    • (1964) J. Math. Mech. , vol.13 , pp. 407-479
    • Taibleson, M.H.1
  • 32
    • 0010721612 scopus 로고
    • II. Translation invariant operators, duality, and interpolation
    • II. Translation invariant operators, duality, and interpolation. J. Math. Mech. 14 (1965), 821-39.
    • (1965) J. Math. Mech. , vol.14 , pp. 821-839
  • 33
    • 0004095766 scopus 로고
    • Weakly Differentiable Functions
    • Berlin: Springer
    • W. P. Ziemer. Weakly Differentiable Functions, Graduate Texts in Mathematics (Berlin: Springer, 1989).
    • (1989) Graduate Texts in Mathematics
    • Ziemer, W.P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.