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Applicable Analysis
An International Journal
Volume 8, 1978 - Issue 2
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Original Articles

Homogenization of non-uniformly elliptic operatorsFootnote†

Paolo Marcellini Istituto Maternatico, “U. Dini”, Viale Morgagni 67a, Firenze, 50134, ltalyView further author information
&
Carlo Sbordone lstituto Maternatico, “R. Caccioppoli”, Via Mezzocannone 8, Napoli, 80134, ltalyView further author information
Pages 101-113 | Received 09 Feb 1977, Published online: 10 May 2007

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Esposito Antonio Corbo & Riccardo De Arcagelis. (1992) The Lavrentieff phenomenon And Different processes of Homogenization. Communications in Partial Differential Equations 17:9-10, pages 1503-1538.
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Riccardo De arcangelis. (1992) Homogenization of besicovitch type almost periodic functionals. Applicable Analysis 43:1-2, pages 77-98.
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Luciano Carbone & Saverio Salerno. (1986) Some remarks on a problem of homogenization with fixed traces. Applicable Analysis 22:1, pages 71-86.
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Articles from other publishers (26)

Martin Heida. (2023) Stochastic homogenization on perforated domains Ⅰ – Extension Operators. Networks and Heterogeneous Media 18:4, pages 1820-1897.
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Stefano Biagi, Giovanni Cupini & Elvira Mascolo. (2020) Regularity of quasi-minimizers for non-uniformly elliptic integrals. Journal of Mathematical Analysis and Applications 485:2, pages 123838.
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Giovanni Cupini, Paolo Marcellini & Elvira Mascolo. (2018) Nonuniformly elliptic energy integrals with -growth . Nonlinear Analysis 177, pages 312-324.
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Nicola Fusco & Giuseppe Mingione. (2018) Carlo Sbordone, a Neapolitan mathematician. Nonlinear Analysis 177, pages iv-vii.
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Nicola Fusco & Giuseppe Mingione. (2018) Carlo Sbordone, a Neapolitan mathematician. Nonlinear Analysis 177, pages iv-vii.
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Nicola Fusco & Giuseppe Mingione. (2018) WITHDRAWN: Carlo Sbordone, a Neapolitan mathematician. Nonlinear Analysis, pages 111278.
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Giovanni Cupini, Paolo Marcellini & Elvira Mascolo. (2017) Regularity of minimizers under limit growth conditions. Nonlinear Analysis: Theory, Methods & Applications 153, pages 294-310.
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Marc Briane. (2002) Homogenization of a class of non-uniformly elliptic monotonic operators. Nonlinear Analysis: Theory, Methods & Applications 48:1, pages 137-158.
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F. Paronetto & F. Serra Cassano. (1998) On the convergence of a class of degenerate parabolic equations. Journal de Mathématiques Pures et Appliquées 77:9, pages 851-878.
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Riccardo de Arcangelis & Giuliano Gargiulo. (1995) Homogenization of integral functionals with linear growth defined on vector-valued functions. Nonlinear Differential Equations and Applications NoDEA 2:3, pages 371-416.
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Antonio Corbo Esposito & Riccardo De Arcangelis. (1994) Homogenization of Dirichlet problems with nonnegative bounded constraints on the gradient. Journal d’Analyse Mathématique 64:1, pages 53-96.
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Antonio Corbo Esposito & Riccardo De Arcangelis. (1994) A characterization of families of function sets described by constraints on the gradient. Annales de l'Institut Henri Poincaré C, Analyse non linéaire 11:5, pages 553-609.
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Antonio Corbo Esposito & Riccardo De Arcangelis. (1993) Comparison results for some types of relaxation of variational integral functionals. Annali di Matematica Pura ed Applicata 164:1, pages 155-193.
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Tang Qi. (1993) Regularity of minimizers of non-isotropic integrals of the calculus of variations. Annali di Matematica Pura ed Applicata 164:1, pages 77-87.
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Riccardo de Arcangelis. (1991) A general homogenization result for almost periodic functionals. Journal of Mathematical Analysis and Applications 156:2, pages 358-380.
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Riccardo De Arcangelis. (1990) Compactness and convergence of minimum points for a class of nonlinear nonequicoercive functionals. Nonlinear Analysis: Theory, Methods & Applications 15:4, pages 363-380.
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Tang Qi. (2011) A dual method in the calculation of homogenisation and applications. Proceedings of the Royal Society of Edinburgh: Section A Mathematics 110:3-4, pages 321-334.
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N. Fusco & G. Moscariello. (1986) On the homogenization of quasilinear divergence structure operators. Annali di Matematica Pura ed Applicata 146:1, pages 1-13.
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Luciano Carbone & Saverio Salerno. (1985) Homogenization with unbounded constraints on the gradient. Nonlinear Analysis: Theory, Methods & Applications 9:5, pages 431-444.
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Luciano Carbone & Saverio Salerno. (1984) Further results on a problem of homogenization with constraints on the gradient. Journal d'Analyse Mathématique 44:1, pages 1-20.
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G. Moscariello & L. Nania. (1984) On the homogenization of multiple integrals. Nonlinear Analysis: Theory, Methods & Applications 8:7, pages 797-803.
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Luciana Nania. (1983) On the Γ-convergence for multiple integrals depending on vector valued functions. Annali di Matematica Pura ed Applicata 134:1, pages 67-77.
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Luciano Carbone & Saverio Salerno. (1982) On a problem of homogenization with quickly oscillating constraints on the gradient. Journal of Mathematical Analysis and Applications 90:1, pages 219-250.
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Gianni Dal Maso & Placido Longo. (1981) Γ-Limits of obstacles. Annali di Matematica Pura ed Applicata 128:1, pages 1-50.
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Nicola Fusco & Gioconda Moscariello. (1981) L 2-lower semicontinuity of functionals of quadratic type. Annali di Matematica Pura ed Applicata 129:1, pages 305-326.
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Luciano Carbone & Carlo Sbordone. (1979) Some properties of Γ-limits of integral functionals. Annali di Matematica Pura ed Applicata 122:1, pages 1-60.
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