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Gamma-limits of obstacles. (English) Zbl 0467.49004


MSC:

49J40 Variational inequalities
49J27 Existence theories for problems in abstract spaces
49Q20 Variational problems in a geometric measure-theoretic setting
58E35 Variational inequalities (global problems) in infinite-dimensional spaces
Full Text: DOI

References:

[1] Attouch, H.; De Giorgi, E.; Magenes, E.; Mosco, U., Convergence des solutions d’inéquations variationnelles avec obstacles, 101-113 (1979), Bologna: Pitagora editrice, Bologna · Zbl 0404.49007
[2] H.Attouch, to appear.
[3] Attouch, H.; Picard, C., Problèmes variationnels et théorie du potentiel non linéaire, Annales Fac. Sci. Toulouse, 1, 89-136 (1979) · Zbl 0418.49012
[4] Attouch, H.; Sbordone, C., Asymptotic limits for perturbed functionals of calculus of variations, Ricerche Mat., 29, 85-124ì (1980) · Zbl 0453.49007
[5] Biroli, M., Sur la G-convergence pour des inéquations quasi-variationnelles, Boll. Un. Mat. Ital., (5), 14-A, 540-550 (1977) · Zbl 0377.49010
[6] Biroli, M., G-convergence for elliptic equations, variational inequalities and quasi-variational inequalities, Rend. Sem. Mat. Fis. Milano, 47, 269-328 (1977) · Zbl 0402.35005
[7] Boccardo, L.; Capuzzo-Dolcetta, I., G-convergenza e problema di Dirichlet unilaterale, Boll. Un. Mat. Ital., 12, 115-123 (1975) · Zbl 0337.35023
[8] Boccardo, L.; Marcellini, P., Sulla convergenza delle soluzioni di disequazioni variazionali, Ann. Mat. Pura Appl., (4), 110, 137-159 (1976) · Zbl 0333.35030
[9] Buttazzo, G.; Dal Maso, G., Γ-limits of integral functional, J. Analyse Math., 37, 145-185 (1980) · Zbl 0446.49012
[10] L.Carbone - F.Colombini,Sur la convergence de fonctionnelles soumises à des costraintes unilatéraux, preprint Scuola Normale Superiore, Pisa (1978).
[11] Carbone, L.; Sbordone, C., Some properties of Γ-limits of integral functionals, Ann. Mat. Pura Appl., 122, 1-60 (1979) · Zbl 0474.49016
[12] Dal Maso, G., Alcuni teoremi sui Γ-limiti di misure, Boll. Un. Mat. Ital., (5), 15-B, 182-192 (1978) · Zbl 0388.28006
[13] De Giorgi, E., Γ-convergenza e G-convergenza, Boll. Un. Mat. Ital., 14-A, 213-220 (1977) · Zbl 0389.49008
[14] De Giorgi, E.; De Giorgi, E.; Magenes, E.; Mosco, U., Convergence problems for functionals and operators, 131-188 (1979), Bologna: Pitagora editrice, Bologna · Zbl 0405.49001
[15] E. DeGiorgi - G. DalMaso - P.Longo,Γ-limiti di ostacoli, to appear on Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., Vol.68 2∘ Sem. fasc. 6 (1980).
[16] De Giorgi, E.; Franzoni, T., Su un tipo di convergenza variazionale, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., (8), 58, 842-850 (1975) · Zbl 0339.49005
[17] De Giorgi, E.; Franzoni, T., Su un tipo di convergenza variazionale, Rendiconti del Seminario Matematico di Brescia, 3, 63-101 (1979)
[18] De Giorgi, E.; Letta, G., Une notion générale de convergence faible pour des fonctions croissantes d’ensemble, Ann. Scuola Norm. Sup. Pisa Cl. Sci., (4), 4, 61-99 (1977) · Zbl 0405.28008
[19] Deny, J.; Lions, J. L., Les espaces du type de Beppo Levi, Ann. Ist. Fourier, 5, 305-370 (1954) · Zbl 0065.09903
[20] Lewy, H.; Stampacchia, G., On the regurity of the solution of a variational inequality, Comm. Pure Appl. Mat., 22, 153-188 (1969) · Zbl 0167.11501
[21] Marcellini, P.; Sbordone, C., Homogeneization of non uniformly elliptic operators, Applicable Anal., 8, 101-114 (1978) · Zbl 0406.35014
[22] F.Murat,Sur l’homogeneisation d’inequations elliptique du 2éme ordre, relatives au convexe K(ψ_1, ψ_2)=¬∈H0/1(Ω)¦ψ_1⩽ν⩽ψ_2 p.p. dansΩ
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