@article{ASNSP_1989_4_16_2_281_0, author = {Marino, Antonio and Saccon, Claudio and Tosques, Mario}, title = {Curves of maximal slope and parabolic variational inequalities on non-convex constraints}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {281--330}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 16}, number = {2}, year = {1989}, zbl = {0699.49015}, mrnumber = {1041899}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1989_4_16_2_281_0/} }
TY - JOUR AU - Marino, Antonio AU - Saccon, Claudio AU - Tosques, Mario TI - Curves of maximal slope and parabolic variational inequalities on non-convex constraints JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1989 DA - 1989/// SP - 281 EP - 330 VL - Ser. 4, 16 IS - 2 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1989_4_16_2_281_0/ UR - https://zbmath.org/?q=an%3A0699.49015 UR - https://www.ams.org/mathscinet-getitem?mr=1041899 LA - en ID - ASNSP_1989_4_16_2_281_0 ER -
Marino, Antonio; Saccon, Claudio; Tosques, Mario. Curves of maximal slope and parabolic variational inequalities on non-convex constraints. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 16 (1989) no. 2, pp. 281-330. http://archive.numdam.org/item/ASNSP_1989_4_16_2_281_0/
[1] Differential Inclusions, Springer Verlag, 1984. | MR 755330 | Zbl 0538.34007
- ,[2] Applied Nonlinear Analysis, Springer Verlag, 1984. | MR 749753 | Zbl 0641.47066
- ,[3] Nonlinear Semigroups and Differential Equations in Banach Spaces, Nord Hoff. International Pubbl., Heldermann Verlag, 1981. | Zbl 0328.47035
,[4] Opérateurs maximaux monotones et semigroupes de contraction dans les espaces de Hilbert, North-Holland Mathematics Studies, n. 5, Notas de Matematica (50), Amsterdam- London, 1973. | MR 348562 | Zbl 0252.47055
,[5] On p-convex sets and geodesics, to appear. | MR 957011
,[6] Evolution equations for the eigenvalue problem for the Laplace operator with respect to an obstacle, submitted to Ann. Scuola Norm. Sup. Pisa.
- - ,[7] Multiplicity of eigenvalue for the Laplace operator with respect to an obstacle and non-tangency conditions, to appear on Nonlinear Anal. The. Meth. Appl. | MR 1065252 | Zbl 0716.49009
- - ,[8] Optimization and Nonsmooth Analysis, Wiley Interscience, 1983. | MR 709590 | Zbl 0582.49001
,[9] An introduction to evolution governed by accretive operators, Dynamical Systems-An International Symposium, Academic Press, 1976, pp. 131-165. | MR 636953 | Zbl 0339.35049
,[10] Generation of semi-groups of nonlinear transformations on general Banach spaces, Amer. J. Math., 93 (1971), pp. 265-298. | MR 287357 | Zbl 0226.47038
, ,[11] Evolution equations for a class of non-linear operators, Atti Accadem. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur. (8) 75 (1983), pp. 1-8. | Zbl 0597.47045
- , , ,[12] Problemi di evoluzione di spazi metrici e curve di massima pendenza, Atti Accadem. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur. (8) 68 (1980), pp. 180-187. | MR 636814 | Zbl 0465.47041
- - ,[13] Funzioni (p, q)-convesse, Atti Accadem. Naz. Lincei, Rend. Cl. Sci. Fis. Mat. Natur. (8) 73 (1982), pp. 6-14. | MR 726279 | Zbl 0521.49011
- - ,[14] Parabolic equations with time-dependent boundary conditions, Ann. Mat. Pura Appl., (IV), CXLI, pp. 223-264. | Zbl 0592.35070
,[15] General properties of (p, q)-convex functions and (p, q)-monotone operators, Ricerche Mat. 32 (1983), pp. 285-319. | MR 766683 | Zbl 0555.49007
- - ,[16] Evolution equations associated with (p, q)-convex functions and (p, q)-monotone operators, Ricerche Mat. 33 (1984), pp. 81-112. | MR 795157 | Zbl 0582.49005
- - ,[17] Evolution equations with lack of convexity, Nonlinear Anal. The. Meth. and Appl., Vol. 9, 12 (1985), pp. 1401-1443. | MR 820649 | Zbl 0545.46029
- - ,[18] Evolution equations for (Φ, f)-monotone operators, Boll. Un. Mat. Ital. (6) 6-B, pp. 537-568. | Zbl 0615.47047
- ,[19] An introduction to variational inequalities and their applications, Pure and Applied Mathematics, 88, Academic Press, New York, London, Toronto, Ont. 1980. | MR 567696 | Zbl 0457.35001
- ,[20] Teoria elementare dell'integrazione, Boringhieri 1976. | Zbl 0316.28002
,[21] Evolution equation and multiplicity of critical points with respect to an obstacle, Contribution to Modem Calculus of Variations, Cesari Ed. Res. Notes in Math., Pitman (to appear). | MR 894076 | Zbl 0621.58005
,[22] Geodetiche con ostacolo, Boll. Un. Mat. Ital. B(6) 2 (1983), pp.1-31. | MR 698480
- ,[23] Autovalori dell'operatore di Laplace ed equazioni di evoluzione di presenza di ostacolo, Problemi differenziali e teoria dei punti critici (Bari, 1984), pp. 137-155. Pitagora, Bologna, 1984. | MR 817778 | Zbl 0613.35024
- ,[24] Curves of maximal slope for a certain class of non-regular functions, Boll. Un. Mat. Ital. B(6) 1 (1982), pp. 143-170. | MR 654928 | Zbl 0495.58012
- ,[25] Volterra integral equations associated with a class of nonlinear operators in Hilbert spaces, Ann. Fac. Sci. Tolouse Math., (5), VIII, n. 2(1986-87). | Numdam | MR 928841 | Zbl 0608.45008
- ,[26] Nonlinear integrodifferential equation in Hilbert spaces: the variational case, Proceedings of the congress "Volterra integral equations in Banach spaces and applications" (Trento, Feb. 1987), to appear. | Zbl 0674.45011
- ,[27] Generalized directional derivatives and subgradients of nonconvex functions, Can. J. Math., 32 (1980), pp. 257-280. | MR 571922 | Zbl 0447.49009
,[28] The theory of subgradients and its application to problem of optimization. Convex and non-convex functions. Heldermann Verlag, 1981. | MR 623763 | Zbl 0462.90052
,[29] Some parabolic equations on nonconvex Constraints. Boll. Un. Mat. Ital. (7) 3-B (1989), 369-386. | MR 998002 | Zbl 0716.35035
,[30] On an evolution problem with free boundary, to appear in Houston J. of Math. | MR 1071268 | Zbl 0739.49009
,[31] Esistenza e molteplicità di geodetiche con ostacolo con estremi variabili, Ricerche Mat. 33 (1984), pp. 171-201. | Zbl 0592.53040
,[32] Un teorema di esistenza di una geodetica chiusa su varietà con bordo, Boll. U.M.I. (6) 4-A (1985), pp. 451-457.
,[33] Quasi-autonomous evolution equation associated with (Φ, f)-monotone operators, to appear in Ricerche di Matematica.
,