@article{AIHPC_1990__7_3_123_0, author = {Chiad\'o Piat, Valeria and Dal Maso, Gianni and Defranceschi, Anneliese}, title = {G-convergence of monotone operators}, journal = {Annales de l'I.H.P. Analyse non lin\'eaire}, volume = {7}, year = {1990}, pages = {123-160}, mrnumber = {1065871}, zbl = {0731.35033}, language = {en}, url = {http://dml.mathdoc.fr/item/AIHPC_1990__7_3_123_0} }
Chiado'Piat, Valeria; Dal Maso, Gianni; Defranceschi, Anneliese. G-convergence of monotone operators. Annales de l'I.H.P. Analyse non linéaire, Tome 7 (1990) pp. 123-160. http://gdmltest.u-ga.fr/item/AIHPC_1990__7_3_123_0/
[1] Γ-convergenza e G-convergenza per problemi non lineari di tipo ellittico, Boll. Un. Mat. Ital., 13, 1976, pp. 352-362. | MR 487703 | Zbl 0345.49004
and ,[2] Introduction a l'homogénisation d'inéquations variationnelles, Rend. Sem. Mat. Univ. Politec. Torino, Vol. 40, 1982, pp. 1-23. | MR 724197 | Zbl 0523.35004
,[3] Variational convergence for functions and operators, Pitman, London, 1984. | MR 773850 | Zbl 0561.49012
,[4] Convexity and optimization in Banach spaces, Editura Academiei, Bucuresti, 1978. | MR 513634 | Zbl 0379.49010
and ,[5] Asymptotic analysis for periodic structures, North Holland, Amsterdam, 1978. | MR 503330 | Zbl 0404.35001
, and ,[6] Homogenization with jumping nonlinearities, Ann. Mat. Pura Appl., Vol. 138, 1984, pp. 211-221. | MR 779543 | Zbl 0568.35038
and ,[7] Remarques sur l'homogénéisation de certains problèmes quasi linéaires, Portugal. Math., Vol. 41, 1982, pp. 535-562. | MR 766874 | Zbl 0524.35042
and ,[8] Homogénéisation de problèmes quasi linéaires, Studio di problemi-limite della analisi funzionale (Bressanone, 1981), 13-51, Pitagora editrice, Bologna, 1982.
and ,[9] Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert, North-Holland, Amsterdam, 1973. | MR 348562 | Zbl 0252.47055
,[10] Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proceedings of Symposia Pure Math., 18, American Mathematical Society, 1976. | Zbl 0327.47022
,[11] Convex analysis and measurable multifunctions, Lec. Notes Math., 580, Springer-Verlag, Berlin, 1977. | MR 467310 | Zbl 0346.46038
and ,[12] Sulla convergenza degli integrali dell'energia per operatori ellittici del secondo ordine, Boll. Un. Mat. Ital., Vol. 8, 1973, pp. 391-411. | MR 348255 | Zbl 0274.35002
and ,[13] On the homogenization of quasilinear divergence structure operators, Ann. Mat. Pura Appl., Vol. 146, 1987, pp. 1-13. | MR 916685 | Zbl 0636.35027
and ,[14] Further results on the homogenization of quasilinear operators, Ricerche Mat. 35, 1986, pp. 231-246. | MR 932435 | Zbl 0658.35016
and ,[15] Integrals, conditional expectations, and martingales of multivalued functions, J. Multivariate Anal., 7, 1977, pp. 149-182. | MR 507504 | Zbl 0368.60006
and ,[16] | MR 259835
, Topology, Academic Press, New York, 1968.[17] Su un tipo di continuità dell'operatore subdifferenziale, Boll. Un. Mat. Ital., Vol. 14-B, 1977, pp. 480-490. | MR 461235 | Zbl 0376.28004
,[18] H-convergence, Séminaire d'Analyse Fonctionnelle et Numérique, Université d'Alger, 1977.
,[19] Compacité par compensation, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Vol. 5, 1978, pp. 489-507. | Numdam | MR 506997 | Zbl 0399.46022
,[20] Homogénéisation d'opérateurs monotones, Manuscript, 1981.
and ,[21] Nonlinear mappings of monotone type, Editura Academiei, Bucuresti, 1978. | MR 531036 | Zbl 0423.47021
and ,[22] On the G-Convergence of quasilinear elliptic operators with unbounded coefficients, Soviet Math. Dokl., 24, 1981, pp. 472-476. | MR 636853 | Zbl 0501.35033
,[23] Non homogeneous media and vibration theory, Lec. Notes Phys., 127, Springer-Verlag, Berlin, 1980. | Zbl 0432.70002
,[24] Sul limite delle soluzioni di problemi di Cauchy relativi all'equazione del calore, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Vol. 21, 1967, pp. 657-699. | Numdam | MR 225015 | Zbl 0153.42103
,[25] Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Scuola Norm. Sup. Pisa Cl. Sci., Vol. 22, 1968, pp. 577-597. | Numdam | MR 240443 | Zbl 0174.42101
,[26] Convergence in energy for elliptic operators, Proc. Third Symp. Numer. Solut. Partial Diff. Equat.(College Park, 1975), pp. 469-498, Academic Press, San Diego, 1976. | MR 477444 | Zbl 0347.65034
,[27] Cours Peccot, Collège de France, Paris, 1977.
,[28] Quelques remarques sur l'homogénéisation, Proceedings of the Japan-France seminar 1976 "Functional analysis and numerical analysis ", pp. 469-482, Japan Society for the Promotion of Science, 1978.
,[29] Compensated compactness and applications to partial differential equations, Nonlinear analysis & mechanics, Heriot-Watt symposium, Vol. IV, Res. Notes Math., Vol. 39, pp. 136-211, Pitman, London, 1979. | Zbl 0437.35004
,[30] Averaging and G-convergence of differential operators, Russian Math. Surveys, Vol. 34, 1979, pp. 69- 147. | MR 562800 | Zbl 0445.35096
, , and ,