@article{AIHPC_1992__9_4_399_0, author = {Braides, Andrea and Chiad\'o Piat, Valeria and Defranceschi, Anneliese}, title = {Homogenization of almost periodic monotone operators}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {9}, year = {1992}, pages = {399-432}, mrnumber = {1186684}, zbl = {0785.35007}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1992__9_4_399_0} }
Braides, Andrea; Chiadó Piat, Valeria; Defranceschi, Anneliese. Homogenization of almost periodic monotone operators. Annales de l'I.H.P. Analyse non linéaire, Tome 9 (1992) pp. 399-432. http://gdmltest.u-ga.fr/item/AIHPC_1992__9_4_399_0/
[1] Averaged Processes in Periodic Media, Nauka, Moscow, 1984. | MR 797571 | Zbl 0607.73009
and ,[2] Asymptotic Analysis for Periodic Structures, North Holland, Amsterdam, 1978. | MR 503330 | Zbl 0404.35001
, and ,[3] Almost Periodic Functions, Cambridge, 1932. | JFM 58.0264.02 | Zbl 0004.25303
,[4] Homogenization with Jumping Nonlinearities, Ann. Mat. Pura Appl., (4), Vol. 138, 1984, pp. 211-221. | MR 779543 | Zbl 0568.35038
and ,[5] Homogénéisation de problèmes quasi linéaires, Studio di problemi-limite della Analisi Funzionale (Bressanone, 1081), 13-51, Pitagora Editrice, Bologna, 1982.
and ,[6] Remarques sur l'homogénéisation de certains problèmes quasi-linéaires, Portugal. Math., Vol. 41, 1982, pp. 535-562. | MR 766874 | Zbl 0524.35042
and ,[7] Omogeneizzazione di integrali non coercivi, Ricerche Math., Vol. 32, 1983, pp. 347-368. | Zbl 0547.49007
,[8] Homogenization of Some Almost Periodic Coercive Functionals, Rend. Accad. Naz. XL, Vol.9, 1985, pp. 313-322. | MR 899255 | Zbl 0582.49014
,[9] A Homogenization Theorem for Weakly Almost Periodic Functionals, Rend. Accad. Naz. XL, Vol. 10, 1986, pp. 261-281. | MR 879115 | Zbl 0611.49007
,[10] Correctors for the Homogenization of Almost Periodic Monotone Operators, Asympt. Anal., Vol. 5, 1991, pp. 47-74. | MR 1132080 | Zbl 0768.35005
,[11] Almost Periodic Methods in the Theory of Homogenization, Applicable Anal. (to appear). | MR 1307012 | Zbl 0798.49033
,[12] On the Variational Convergence with a Null Divergence Condition, Preprint, Università di Udine, 1989. | MR 1110674
and ,[13] A Problem in the Optimal Design of Networks Under Transverse Loading, Quart. Appl. Math., Vol. 48, 1990, pp. 251-263. | MR 1052135 | Zbl 0706.73057
, and ,[14] Sistemi ellittici in forma divergenza. Regolarità all'interno. Quaderni Scuola Normale Sup., Pisa, 1980. | MR 668196 | Zbl 0453.35026
,[15] Some Properties of Γ-Limits of Integral Functionals, Ann. Mat. Pura Appl., (4), Vol. 122, 1979, pp. 1-60. | MR 565062 | Zbl 0474.49016
and ,[16] G-Convergence of Monotone Operators, Ann. Inst. H. Poincaré. Anal. Non Linéaire, Vol. 7, 1990, pp. 123-160. | Numdam | MR 1065871 | Zbl 0731.35033
, and ,[17] Homogenization of Monotone Operators, Nonlinear Anal., Vol. 14, 1990, pp. 717-732. | MR 1049117 | Zbl 0705.35041
and ,[18] Correctors for the Homogenization of Monotone Operators, Diff. Integral Eq., Vol. 3, 1990, pp. 1151-1166. | MR 1073064 | Zbl 0733.35005
and ,[19] Integral Functionals Determined by their Minima, Rend. Sem. Mat. Univ. Padova, Vol. 76, 1986, pp. 255-267. | Numdam | MR 881574 | Zbl 0613.49028
and ,[20] A General Homogenization Result for Almost Periodic Functionals, J. Math. Anal. Appl., Vol. 156, (2), 1991, pp. 358-380. | MR 1103018 | Zbl 0743.49019
,[21] Sulla convergenza degli integrali dell'energia per operatori ellittici del secondo ordine, Boll. Un. Mat. Ital., (4), Vol. 8, 1973, pp. 391- 411. | MR 348255 | Zbl 0274.35002
and ,[22] On the Homogenization of a Class of Pseudomonotone Operators in Divergence Form, Boll. Un. Mat. Ital., Vol. 5-B, 1991, pp. 369-388. | MR 1111128 | Zbl 0777.47026
,[23] Homogenization and Correctors for Nonlinear Elliptic Equations, Comment. Math. Univ. Carolin. (to appear).
,[24] L2-Lower Semicontinuity of Functionals of Quadratic Type, Ann. Mat. Pura Appl., (4), Vol. 129, 1981, pp. 306-326. | MR 648337 | Zbl 0483.49008
and ,[25] Further Results on the Homogenization of Quasilinear Operators, Ricerche Mat., Vol. 35, 1986, pp.231-246. | MR 932435 | Zbl 0658.35016
and ,[26] On the Homogenization of Quasilinear Divergence Structure Operators, Ann. Mat. Pura Appl., Vol. 146, 1987, pp. 1-13. | MR 916685 | Zbl 0636.35027
and ,[27] An Introduction to Variational Inequalities and their Applications, Academic Press, New York, 1980. | MR 567696 | Zbl 0457.35001
and ,[28] Averaging Differential Operators with Almost-Periodic Rapidly Oscillating Coefficients, Math. USSR-Sb., Vol. 35, 1979, pp.481-498. | MR 512007 | Zbl 0422.35003
,[29] Reducibility of Quasiperiodic Differential Operators and Averaging, Trans. Moscow Math. Soc., Vol. 2, 1984, pp. 101-126. | Zbl 0566.35036
,[30] Almost Periodic Functions and Differential Equations, Cambridge Univ. Press, Cambridge, 1982. | MR 690064 | Zbl 0499.43005
and ,[31] Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod Gauthier-Villars, Paris, 1969. | MR 259693 | Zbl 0189.40603
,[32] Periodic Solutions and Homogenization of Non Linear Variational Problems, Ann. Mat. Pura Appl., (4), Vol. 117, 1978, pp. 139-152. | MR 515958 | Zbl 0395.49007
,[33] Of Non-Linear Elliptic Systems and Quasi-Regular Functions, Duke Math. J., Vol. 42, 1975, pp. 121-136. | MR 417568 | Zbl 0347.35039
and ,[34] H-convergence, Séminaire d'Analyse Fonctionnelle et Numérique de l'Université d'Alger, 1977.
,[35] Compacité par compensation, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4), Vol. 5, 1978, pp. 489-507. | Numdam | MR 506997 | Zbl 0399.46022
,[36] On the Homogenization of Elliptic Operators with Almost-Periodic Coefficients, Rend. Sem. Mat. Fis. Milano, Vol. 52, 1982, pp. 149-166. | MR 802999 | Zbl 0568.35029
and ,[37] On the G-Convergence of Quasilinear Elliptic Operators with Unbounded Coefficients, Soviet Math. Dokl., Vol. 24, 1981, pp. 472-476. | MR 636853 | Zbl 0501.35033
,[38] Real and Complex Analysis, McGraw-Hill, New York, 1966. | MR 210528 | Zbl 0142.01701
,[39] Non Homogeneous Media and Vibration Theory, Lect. Notes Phys., 127, Springer-Verlag, Berlin, 1980. | Zbl 0432.70002
,[40] Sul limite delle soluzioni di problemi di Cauchy relativi all'equazione del calore, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (3), Vol. 21, 1967, pp. 657-699. | Numdam | MR 225015 | Zbl 0153.42103
,[41] Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (3), Vol. 22, 1968, pp. 577-597. | Numdam | MR 240443 | Zbl 0174.42101
,[42] Convergence in Energy for Elliptic Operators, Proc. Third Symp. Numer. Solut. Partial Diff. Equat., College Park, 1975, pp.469-498, Academic Press, New York, 1976. | MR 477444 | Zbl 0347.65034
,[43] Cours Peccot, Collège de France, Paris, 1977.
,[44] Quelques remarques sur l'homogénéisation, Proc. of the Japan-France seminar 1976 "Functional analysis and numerical analysis", pp. 469-482, Japan Society for the Promotion of Science, 1978.
,[45] Compensated Compactness and Partial Differential Equations, Nonlinear Analysis and Mechanics: Heriot-Watt Symposium, Vol. IV, pp. 136-212, Pitman, London, 1979. | MR 584398 | Zbl 0437.35004
,[46] Homogénéisation d'opérateurs monotones, Manuscript, 1981.
,[47] Averaging and G-Convergence of Differential Operators, Russian Math. Surveys, Vol. 34, 1979, pp. 69-147. | MR 562800 | Zbl 0445.35096
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