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Bilateral inequalities and implicit unilateral systems of the non- variational type. (English) Zbl 0452.35043


MSC:

35J99 Elliptic equations and elliptic systems
35J20 Variational methods for second-order elliptic equations
35B45 A priori estimates in context of PDEs

Citations:

Zbl 0411.49002
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References:

[1] BENSOUSSAN, A., LIONS, J. L.: Applications des inéquations variationnelles en contrôle stochastique. Dunod, Paris (1978) I · Zbl 0411.49002
[2] CHICCO, M.: Solvability of the Dirichlet problem in H2,P(?) for a class of linear second order elliptic partial differential equations. Boll. U.M.I.4, 374-387 (1971) · Zbl 0215.45406
[3] CHICCO, M.: Principio di massimo per soluzioni di equazioni ellittiche del secondo ordine di tipo Cordes. Ann. Mat. Pure Appl.100, 239-258 (1974) · Zbl 0289.35071
[4] FRIEDMAN, A.: Stochastic differential equations and applications. Acad. Press New York (1975), vol. II · Zbl 0323.60056
[5] HANOUZET, B., JOLY, J. L.: Convergence uniforme des itérés definissant la solution d’une inéquation quasi-variationnelle abstraite. C.R. Acad. Sci. A286, 735 (1978) · Zbl 0373.49012
[6] LADYZENSKAYA, O. A., URAL’CEVA, N. N.: Linear and quasi-linear elliptic equations. Acad. Press New York (1968)
[7] LEWY, H, STAMPACCHIA, G.: On the regularity of the solution of a variational inequality. Comm. Pure Appl. Maths.22, 153-186 (1969) · Zbl 0167.11501
[8] LIONS, P. L.: Problèmes elliptiques du 2ème ordre non sous forme divergence. Proc. of the Royal Society of Edinburg84 A, 263-271 (1979) · Zbl 0422.35033
[9] MARINA, M. E.: Esistenza e unicità della soluzione di una disequazione variazionale associata a un operatore non coercivo. Boll. U.M.I.10, 500-511 (1974) · Zbl 0306.35038
[10] NAKOULIMA, O.: Thèse (3-ème cycle): Université de Bordeaux (1977)
[11] SCHAEFER, H. H.: Banachs lattices and positive operators Berlin-Heildelberg-New York: Springer Verlag (1974)
[12] TROIANIELLO, G. M.: Unilateral Dirichlet problems of the non-variational type. Ann. Mat. IV,122, 365-381 (1979) · Zbl 0425.35037
[13] TROIANIELLO, G. M.: In a class of unilateral evolutions problems. Manuscripta math.29, 353-384 (1979) · Zbl 0426.35050
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