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Sulla convergenza delle soluzioni di disequazioni variazionali. (Italian) Zbl 0333.35030


MSC:

35J20 Variational methods for second-order elliptic equations
35A35 Theoretical approximation in context of PDEs
35R20 Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions)
Full Text: DOI

References:

[1] A. Bensoussan - J. L. Lions - G. Papanicolaou,Some asymptotic results for solutions of variational inequalities with highly oscillatory periodic coefficients, in corso di stampa.
[2] Boccardo, L.; Capuzzo Dolcetta, I., G-convergenza e problema di Dirichlet unilaterale, Boll. Un. Mat. Ital., 12, 115-123 (1975) · Zbl 0337.35023
[3] Brøndsted, A.; Rockafellar, R. T., On the subdifferentiability of convex functions, Proc. Amer. Math. Soc., 16, 605-611 (1965) · Zbl 0141.11801 · doi:10.2307/2033889
[4] Chicco, M., Confronto tra due modi di definire le disuguaglianze per le funzioni di H^1.P(ω), Boll. Un. Mat. Ital., 4, 668-676 (1971) · Zbl 0222.46023
[5] Chicco, M., Some properties of the first eigenvalue and the first eigenfunction of linear second order elliptic partial differential equations in divergence form, Boll. Un. Mat. Ital., 5, 245-254 (1972) · Zbl 0245.35064
[6] De Giorgi, E., Sulla convergenza di alcune successioni d’integrali del tipo dell’area, Rend. Mat. Roma, 8, 277-294 (1975) · Zbl 0316.35036
[7] De Giorgi, E.; Spagnolo, S., Sulla convergenza degli integrali dell’energia per operatori ellittici del secondo ordine, Boll. Un. Mat. Ital., 8, 391-411 (1973) · Zbl 0274.35002
[8] Donoghue, W. F., A coerciveness inequality, Ann. Scuola Norm. Sup. Pisa, 20, 589-593 (1966) · Zbl 0158.12701
[9] Dunford, N.; Schwartz, J. T., Linear operators (1958), New York: Interscience, New York · Zbl 0084.10402
[10] Joly, J. L., Une famille de topologies sur l’ensemble des fonctions convexes pour lesquelles la polarité est bicontinue, J. Math. Pures Appl., 52, 421-441 (1973) · Zbl 0282.46005
[11] Kuratowski, C., Topologie (1958), Warszawa: Panstwowe Wydawnictwo Naukowe, Warszawa · Zbl 0078.14603
[12] Lions, J. L.; Stampacchia, G., Variational inequalities, Comm. Pure Appl. Math., 20, 493-519 (1967) · Zbl 0152.34601
[13] Littman, W.; Stampacchia, G.; Weinberger, H. F., Regular points for elliptic equations with discontinuous coefficients, Ann. Scuola Norm. Sup. Pisa, 17, 45-79 (1963) · Zbl 0116.30302
[14] Marcellini, P., Su una convergenza di funzioni convesse, Boll. Un. Mat. Ital., 8, 137-158 (1973) · Zbl 0282.47014
[15] Marcellini, P., Un teorema di passaggio al limite per la somma di junzioni convesse, Boll. Un. Mat. Ital., 11, 107-124 (1975) · Zbl 0309.47033
[16] J. J. Moreau,Fonctionnelles convexes, Séminaire sur les équations aux dérivées partielles, Collège de France, 1966-67.
[17] Mosco, U., Convergence of convex sets and of solutions of variational inequalities, Advances in Math., 3, 510-585 (1969) · Zbl 0192.49101 · doi:10.1016/0001-8708(69)90009-7
[18] Mosco, U., On the continuity of the Young-Fenchel transform, J. Math. Anal. Appl., 35, 518-535 (1971) · Zbl 0253.46086 · doi:10.1016/0022-247X(71)90200-9
[19] Rockafellar, R. T., Characterization of the subdifferentials of convex functions, Pacific J. Math., 17, 497-510 (1966) · Zbl 0145.15901
[20] Rockafellar, R. T., Level sets and continuity of conjugate convex functions, Trans. Amer. Math. Soc., 123, 46-63 (1966) · Zbl 0145.15802 · doi:10.2307/1994612
[21] Sbordone, C., Alcune questioni di convergenza per operatori differenziali del secondo ordine, Boll. Un. Mat. Ital., 10, 672-682 (1974) · Zbl 0308.35033
[22] Senatorov, P. K., The stability of the eigenvalues and eigenfunctions of a Sturm-Liouville problem, Differencial’nye Uravnenija, 7, 1667-1671 (1971) · Zbl 0244.34015
[23] Spagnolo, S., Sulla convergenza di soluzioni di equazioni paraboliche ed ellittiche, Ann. Scuola Norm. Sup. Pisa, 22, 571-597 (1968) · Zbl 0174.42101
[24] S. Spagnolo,Convergence in energy for elliptic operators, Proceedings of the Symposium on the numerical solution of partial differential equations, Maryland 1975, in corso di stampa. · Zbl 0347.65034
[25] Stampacchia, G., Formes bilinéaires coercitives sur les ensembles convexes, C. R. Acad. Sci. Paris, Sér. A, 258, 4413-4416 (1964) · Zbl 0124.06401
[26] Stampacchia, G., Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus, Ann. Inst. Fourier, 15, 189-258 (1965) · Zbl 0151.15401
[27] Zolezzi, T., Su alcuni problemi fortemente ben posti di controllo ottimo, Ann. Mat. Pura Appl., 95, 147-160 (1973) · Zbl 0275.49012 · doi:10.1007/BF02410713
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