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Volumn 173, Issue 1, 2004, Pages 133-150

Change of sign of the corrector's determinant for homogenization in three-dimensional conductivity

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EID: 3142734882     PISSN: 00039527     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00205-004-0315-8     Document Type: Article
Times cited : (45)

References (31)
  • 2
    • 0242330223 scopus 로고    scopus 로고
    • Univalent σ-harmonic mappings: Connections with quasiconformal mappings
    • ALESSANDRINI, G., NESI, V.: Univalent σ-harmonic mappings: connections with quasiconformal mappings. J. Anal. Math. 90, 197-215 (2003)
    • (2003) J. Anal. Math. , vol.90 , pp. 197-215
    • Alessandrini, G.1    Nesi, V.2
  • 3
    • 0036412374 scopus 로고    scopus 로고
    • Univalent σ-harmonie mappings: Applications to composites
    • electronic
    • ALESSANDRINI, G., NESI, V.: Univalent σ-harmonie mappings: applications to composites. ESAIM Control Optim. Calc. Var. 7, 379-406 (2002) (electronic)
    • (2002) ESAIM Control Optim. Calc. Var. , vol.7 , pp. 379-406
    • Alessandrini, G.1    Nesi, V.2
  • 5
    • 22644450180 scopus 로고    scopus 로고
    • Minimizers for a double-well problem with affine boundary conditions
    • ALLAIRE, G., LODS, V.: Minimizers for a double-well problem with affine boundary conditions. Proc. Roy. Soc. Edin., Section A 129, 439-466 (1999)
    • (1999) Proc. Roy. Soc. Edin., Section A , vol.129 , pp. 439-466
    • Allaire, G.1    Lods, V.2
  • 6
    • 0001610731 scopus 로고
    • Homogenized characteristics of bodies with a periodic structure
    • BAKHVALOV, N.S.: Homogenized characteristics of bodies with a periodic structure. Doklady Akad. Nauk SSSR 218, 1046-1048 (1974)
    • (1974) Doklady Akad. Nauk SSSR , vol.218 , pp. 1046-1048
    • Bakhvalov, N.S.1
  • 7
    • 0000093666 scopus 로고
    • A version of the fundamental theorem for Young measures
    • M. RASCLE, D. SERRE & M. SLEMROD, (eds.), Springer-Verlag
    • BALL, J.: A version of the fundamental theorem for Young measures. In: Partial Differential Equations and Continuum Models of Phase Transitions, M. RASCLE, D. SERRE & M. SLEMROD, (eds.), Springer-Verlag, 1989, pp. 207-215
    • (1989) Partial Differential Equations and Continuum Models of Phase Transitions , pp. 207-215
    • Ball, J.1
  • 8
    • 0011227467 scopus 로고    scopus 로고
    • Univalent solutions of an elliptic system of partial differential equations arising in homogenization
    • BAUMAN, P., MARINI, A., NESI, V.: Univalent solutions of an elliptic system of partial differential equations arising in homogenization. Indiana Univ. Math. J. 50, 747-757 (2001)
    • (2001) Indiana Univ. Math. J. , vol.50 , pp. 747-757
    • Bauman, P.1    Marini, A.2    Nesi, V.3
  • 10
    • 0007257678 scopus 로고
    • Correctors for the homogenization of a laminate
    • BRIANE, M.: Correctors for the homogenization of a laminate. Adv. Math. Sci. Appl. 4, 357-379 (1994)
    • (1994) Adv. Math. Sci. Appl. , vol.4 , pp. 357-379
    • Briane, M.1
  • 12
    • 0000808026 scopus 로고
    • Sur un type de transformation analytique généralisant la representation conforme et définie au moyen de fonctions harmoniques
    • CHOQUET, G.: Sur un type de transformation analytique généralisant la representation conforme et définie au moyen de fonctions harmoniques. Bull. Sci. Math. 69, 156-165 (1945)
    • (1945) Bull. Sci. Math. , vol.69 , pp. 156-165
    • Choquet, G.1
  • 14
    • 0000618557 scopus 로고
    • Sulla convergenza degli integrali dell'energia per operatori ellitici del secondo ordine
    • DE GIORGI, E., SPAGNOLO, S.: Sulla convergenza degli integrali dell'energia per operatori ellitici del secondo ordine. Boll. Unione Mat. Ita. 8, 391-411 (1973)
    • (1973) Boll. Unione Mat. Ita. , vol.8 , pp. 391-411
    • De Giorgi, E.1    Spagnolo, S.2
  • 19
    • 0039021960 scopus 로고    scopus 로고
    • Injectivity can fail for higher-dimensional harmonic extensions
    • LAUGESEN, R.S.: Injectivity can fail for higher-dimensional harmonic extensions. Complex Variables 28, 357-369 (1996)
    • (1996) Complex Variables , vol.28 , pp. 357-369
    • Laugesen, R.S.1
  • 20
    • 0001302469 scopus 로고
    • On the non-vanishing of the Jacobian in certain one-to-one mappings
    • LEWY, H.: On the non-vanishing of the Jacobian in certain one-to-one mappings. Bull. Am. Math. Soc. 42, 689-692 (1936)
    • (1936) Bull. Am. Math. Soc. , vol.42 , pp. 689-692
    • Lewy, H.1
  • 21
    • 3142733649 scopus 로고    scopus 로고
    • A note on harmonic maps
    • LIU, H., LIAO, G.: A note on harmonic maps. Appl. Math. Lett. 9, 95-97 (1996)
    • (1996) Appl. Math. Lett. , vol.9 , pp. 95-97
    • Liu, H.1    Liao, G.2
  • 22
    • 84966199132 scopus 로고
    • An example of a harmonic map between euclidean balls
    • MR 93d:5803
    • MELAS, A.: An example of a harmonic map between euclidean balls. Proc. Am. Math. Soc. 117, 857-859 (1993), MR 93d:5803
    • (1993) Proc. Am. Math. Soc. , vol.117 , pp. 857-859
    • Melas, A.1
  • 24
    • 84972497511 scopus 로고
    • Quasiconvexity and the lower semicontinuity of multiple integrals
    • MORREY, C.B.: Quasiconvexity and the lower semicontinuity of multiple integrals. Pacific Journal of Mathematics 2, 25-53 (1952)
    • (1952) Pacific Journal of Mathematics , vol.2 , pp. 25-53
    • Morrey, C.B.1
  • 25
    • 0002615068 scopus 로고    scopus 로고
    • H-convergence
    • L. CHERKAEV & R. V. KOHN, (eds.), Progress in Nonlinear Differential Equations and their Applications, Birkaüser, Boston
    • MURAT, F., TARTAR, T.: H-convergence. Topics in the Mathematical Modelling of Composite Materials, L. CHERKAEV & R. V. KOHN, (eds.), Progress in Nonlinear Differential Equations and their Applications, Birkaüser, Boston, 1998, pp. 21-43
    • (1998) Topics in the Mathematical Modelling of Composite Materials , pp. 21-43
    • Murat, F.1    Tartar, T.2
  • 26
    • 84971134433 scopus 로고
    • Bounds on the effective conductivity of 2d composites made of n ≥3 isotropic phases in prescribed volume fractions: The weighted translation method
    • NESI, V.:Bounds on the effective conductivity of 2d composites made of n ≥3 isotropic phases in prescribed volume fractions: the weighted translation method. Proc. Roy. Soc. Edinburgh Sect. A 125, 1219-1239 (1995)
    • (1995) Proc. Roy. Soc. Edinburgh Sect. A , vol.125 , pp. 1219-1239
    • Nesi, V.1
  • 29
    • 84974157879 scopus 로고
    • Rank-one convexity does not imply quasiconvexity
    • SVERAK, V.: Rank-one convexity does not imply quasiconvexity. Proc. Roy. Soc. Edin. Section A 120, 185-189 (1992)
    • (1992) Proc. Roy. Soc. Edin. Section A , vol.120 , pp. 185-189
    • Sverak, V.1
  • 30
    • 0000440966 scopus 로고
    • Compensated compactness and applications to partial differential equations
    • R.J. KNOPS, (ed.), Pitman
    • TARTAR, L.: Compensated compactness and applications to partial differential equations. Nonlinear Analysis and Mechanics, Research Notes in Mathematics, R.J. KNOPS, (ed.), Vol. 39, Pitman, 1979, pp. 136-212
    • (1979) Nonlinear Analysis and Mechanics, Research Notes in Mathematics , vol.39 , pp. 136-212
    • Tartar, L.1
  • 31
    • 0002851015 scopus 로고
    • The compensated compactness method applied to systems of conversations laws
    • J. BALL, (ed.), Reidel
    • TARTAR, L.: The compensated compactness method applied to systems of conversations laws. In: Systems of Nonlinear Partial Differential Equations, J. BALL, (ed.), Reidel, 1982
    • (1982) Systems of Nonlinear Partial Differential Equations
    • Tartar, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.