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Volumn 71, Issue , 1997, Pages 263-313

A capacitary method for the asymptotic analysis of Dirichlet problems for monotone operators

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EID: 0031537097     PISSN: 00217670     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02788033     Document Type: Article
Times cited : (13)

References (35)
  • 1
    • 0010897080 scopus 로고
    • A derivation theorem for countably subadditive set functions
    • M. Balzano, A derivation theorem for countably subadditive set functions, Boll. Un. Mat. Ital. (7) 2-A (1988), 241-249.
    • (1988) Boll. Un. Mat. Ital. (7) , vol.2 A , pp. 241-249
    • Balzano, M.1
  • 3
    • 84972550690 scopus 로고
    • Asymptotic capacities for finely divided bodies and stopped diffusions
    • J. R. Baxter and N. C. Jain, Asymptotic capacities for finely divided bodies and stopped diffusions, Illinois J. Math. 31 (1987), 469-495.
    • (1987) Illinois J. Math. , vol.31 , pp. 469-495
    • Baxter, J.R.1    Jain, N.C.2
  • 4
    • 0025842946 scopus 로고
    • Shape optimization for Dirichlet problems: Relaxed solutions and optimally conditions
    • G. Buttazzo and G. Dal Maso, Shape optimization for Dirichlet problems: relaxed solutions and optimally conditions, Appl. Math. Optim. 23 (1991), 17-49.
    • (1991) Appl. Math. Optim. , vol.23 , pp. 17-49
    • Buttazzo, G.1    Dal Maso, G.2
  • 5
    • 38249034530 scopus 로고
    • A derivation theorem for capacities with respect to a Radon measure
    • G. Buttazzo, G. Dal Maso and U. Mosco, A derivation theorem for capacities with respect to a Radon measure, J. Funct. Anal. 71 (1987), 263-278.
    • (1987) J. Funct. Anal. , vol.71 , pp. 263-278
    • Buttazzo, G.1    Dal Maso, G.2    Mosco, U.3
  • 7
    • 0002682684 scopus 로고
    • Forme abstraite du théorème de capacitabilité
    • G. Choquet, Forme abstraite du théorème de capacitabilité, Ann. Inst. Fourier (Grenoble) 9 (1959), 83-89.
    • (1959) Ann. Inst. Fourier (Grenoble) , vol.9 , pp. 83-89
    • Choquet, G.1
  • 8
    • 0010823682 scopus 로고
    • On the integral representation of certain local functionals
    • G. Dal Maso, On the integral representation of certain local functionals, Ricerche Mat. 32 (1983), 85-113.
    • (1983) Ricerche Mat. , vol.32 , pp. 85-113
    • Dal Maso, G.1
  • 11
    • 38249029320 scopus 로고
    • Some properties of a class of nonlinear variational μ-capacities
    • G. Dal Maso and A. Defranceschi, Some properties of a class of nonlinear variational μ-capacities, J. Funct. Anal. 79 (1988), 476-492.
    • (1988) J. Funct. Anal. , vol.79 , pp. 476-492
    • Dal Maso, G.1    Defranceschi, A.2
  • 12
    • 0000781062 scopus 로고
    • Limits of nonlinear Dirichlet problems in varying domains
    • G. Dal Maso and A. Defranceschi, Limits of nonlinear Dirichlet problems in varying domains, Manuscripta Math. 61 (1988), 251-278.
    • (1988) Manuscripta Math. , vol.61 , pp. 251-278
    • Dal Maso, G.1    Defranceschi, A.2
  • 13
    • 0000629242 scopus 로고
    • New results on the asymptotic behaviour of Dirichlet problems in perforated domains
    • G. Dal Maso and A. Garroni, New results on the asymptotic behaviour of Dirichlet problems in perforated domains, Math. Models Methods Appl. Sci. 3 (1994), 373-407.
    • (1994) Math. Models Methods Appl. Sci. , vol.3 , pp. 373-407
    • Dal Maso, G.1    Garroni, A.2
  • 14
    • 85086526282 scopus 로고    scopus 로고
    • The capacity method for asymptotic Dirichlet problems
    • to appear
    • G. Dal Maso and A. Garroni, The capacity method for asymptotic Dirichlet problems, Asymptotic Anal., to appear.
    • Asymptotic Anal.
    • Dal Maso, G.1    Garroni, A.2
  • 15
    • 0022915145 scopus 로고
    • Wiener criteria and energy decay for relaxed Dirichlet problems
    • G. Dal Maso and U. Mosco, Wiener criteria and energy decay for relaxed Dirichlet problems, Arch. Rational Mech. Anal. 95 (1986), 345-387.
    • (1986) Arch. Rational Mech. Anal. , vol.95 , pp. 345-387
    • Dal Maso, G.1    Mosco, U.2
  • 16
    • 0023120878 scopus 로고
    • Wiener's criterion and Γ-convergence
    • G. Dal Maso and U. Mosco, Wiener's criterion and Γ-convergence, Appl. Math. Optim. 15 (1987), 15-63.
    • (1987) Appl. Math. Optim. , vol.15 , pp. 15-63
    • Dal Maso, G.1    Mosco, U.2
  • 17
    • 0001135173 scopus 로고    scopus 로고
    • Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators
    • to appear
    • G. Dal Maso and F. Murat, Asymptotic behaviour and correctors for Dirichlet problems in perforated domains with homogeneous monotone operators, Ann. Scuola Norm. Sup. Pisa Cl. Sci., to appear.
    • Ann. Scuola Norm. Sup. Pisa Cl. Sci.
    • Dal Maso, G.1    Murat, F.2
  • 19
    • 0010899093 scopus 로고    scopus 로고
    • Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains
    • to appear
    • G. Dal Maso and I. V. Skrypnik, Asymptotic behaviour of nonlinear Dirichlet problems in perforated domains, Ann. Mat. Pura Appl., to appear.
    • Ann. Mat. Pura Appl.
    • Dal Maso, G.1    Skrypnik, I.V.2
  • 20
    • 0347989988 scopus 로고    scopus 로고
    • A capacity method for the study of Dirichlet problems for elliptic systems in varying domains
    • to appear
    • G. Dal Maso and R. Toader, A capacity method for the study of Dirichlet problems for elliptic systems in varying domains, Rend. Sem. Mat. Univ. Padova, to appear.
    • Rend. Sem. Mat. Univ. Padova
    • Dal Maso, G.1    Toader, R.2
  • 21
    • 0002425355 scopus 로고
    • Une notion générale de convergence faible pour des fonctions croissantes d'ensemble
    • E. De Giorgi and G. Letta, Une notion générale de convergence faible pour des fonctions croissantes d'ensemble, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 4 (1977), 61-99.
    • (1977) Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) , vol.4 , pp. 61-99
    • De Giorgi, E.1    Letta, G.2
  • 27
    • 0002696626 scopus 로고
    • A quasilinear Dirichlet problem for a domain with fine-grained boundary
    • I. V. Skrypnik, A quasilinear Dirichlet problem for a domain with fine-grained boundary, Dokl. Akad. Nauk Ukrain. SSR Ser. A 2 (1982), 21-25.
    • (1982) Dokl. Akad. Nauk Ukrain. SSR Ser. A , vol.2 , pp. 21-25
    • Skrypnik, I.V.1
  • 30
    • 0010946843 scopus 로고
    • American Mathematical Society, Providence
    • I. V. Skrypnik, Methods for Analysis of Nonlinear Elliptic Boundary Value Problems, Nauka, Moscow, 1990. English translation in: Translations of Mathematical Monographs 139, American Mathematical Society, Providence, 1994.
    • (1994) Translations of Mathematical Monographs , vol.139
  • 31
    • 0010825987 scopus 로고
    • Averaging nonlinear Dirichlet problems in domains with channels
    • I. V. Skrypnik, Averaging nonlinear Dirichlet problems in domains with channels, Soviet Math. Dokl. 42 (1991), 853-857.
    • (1991) Soviet Math. Dokl. , vol.42 , pp. 853-857
    • Skrypnik, I.V.1
  • 32
    • 0001826744 scopus 로고
    • Asymptotic behaviour of solutions of nonlinear elliptic problems in perforated domains
    • I. V. Skrypnik, Asymptotic behaviour of solutions of nonlinear elliptic problems in perforated domains, Mat. Sb. (N.S.) 184 (1993), 67-90.
    • (1993) Mat. Sb. (N.S.) , vol.184 , pp. 67-90
    • Skrypnik, I.V.1
  • 33
    • 0000666114 scopus 로고    scopus 로고
    • Homogenization of nonlinear Dirichlet problems in perforated domains of general structure
    • I. V. Skrypnik, Homogenization of nonlinear Dirichlet problems in perforated domains of general structure, Mat. Sb. (N.S.) 187 (1996), 125-157.
    • (1996) Mat. Sb. (N.S.) , vol.187 , pp. 125-157
    • Skrypnik, I.V.1
  • 34
    • 0010821369 scopus 로고    scopus 로고
    • New conditions for the homogenization of nonlinear Dirichlet problems in perforated domains
    • I. V. Skrypnik, New conditions for the homogenization of nonlinear Dirichlet problems in perforated domains, Ukrain. Mat. Zh. 48 (1996), 675-694.
    • (1996) Ukrain. Mat. Zh. , vol.48 , pp. 675-694
    • Skrypnik, I.V.1


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