Existence of bounded solutions for non linear elliptic unilateral problems
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H. Amann -M. G. Crandall,On some existence theorems for semilinear elliptic equa- tions, Indiana Univ. Math. J.,27 (1978), pp. 779–790.
L. Boccardo,An L s-estimate for the gradient of solutions of some nonlinear unilateral problems, Ann. Mat. Pura Appl.,141 (1985), pp. 277–287.
L. Boccardo -F. Murat -J. P. Puel,Existence de solutions faibles pour des équations elliptiques quasilinéaires à croissance quadratique, in Konlinear partial differential equations and their applications, Collège de France Seminar, Vol. IV, ed. byH. Brezis andJ. L. Lions, Research Notes in Mathematics,84 Pitman, London, (1983), pp. 19–73.
L. Boccardo -F. Murat -J. P. Puel,Résultats d'existence pour certains problèmes elliptiques quasilinéaires, Ann. Scuola Norm. Sup. Pisa,11 (1984), pp. 213–235.
A, Bensoussan -J. Frehse,Nonlinear elliptic systems in stochastic game theory, J. reine ang. Math.,350 (1984), pp. 23–67.
A. Bensoussan -J. Frehse -U. Mosco,A stochastic impulse control problem with quadratic growth Mamiltonian and the corresponding quasi-variational inequality, J. reine ang. Math.,331 (1982), pp. 124–145.
H. Brezis,Equations et inéquations non linéaires dans les espaces en dualité, Ann. Inst. Fourier,18 (1968), pp. 115–175.
H. Brezis,Problèmes unilatéraux, J. Math. Pures et Appl.,51 (1972), pp. 1–168.
F. E. Browder,Existence theorems for nonlinear partial differential equations, in Proceedings of Symposia in Pure Mathematics, Vol. XVI, ed. byS. S. Chern andS. Smale, American Mathematical Society, Providence, (1970), pp. 1–60.
P. Donato -D. Giachetti,Quasilinear elliptic equations with quadratic growth in unbounded domains, Nonlinear Anal. T.M.A.,10 (8) (1986), pp. 791–804.
P. Donato -D. Giachetti,Unilateral problems with quadratic growth in unbounded domains, Boll. Un. Mat. Ital., (6)5 A (1986), pp. 361–369.
D. Kinderlehrer -G. Stampacchia,An introduction to variational inequalities and their applications, Academic Press, New York, 1980.
P. Hartman -G. Stampacchia,On some nonlinear elliptic differential functional equations, Acta Math.,115 (1966), pp. 153–188.
J. Leray -J. L. Lions,Quelques résultats de Visik sur les problèmes elliptiques non linéaires par les méthodes de Minty-Browder, Bull. Soc. Math. France,93 (1965), pp. 97–107.
J. L. Lions,Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod et Gauthier Villars, Paris, 1969.
P. L. Lions,Résolution de problèmes elliptiques quasilinéaires, Arch. Rat. Mech. Anal.,74 (1980), pp. 336–353.
P. L. Lions,Quelques remarques sur les problèmes elliptiques quasilinéaires du second ordre, J. Anal. Math.,45 (1985), pp. 234–254.
J. M.Rakotoson - R.Temam,Relative rearrangement in quasilinear variational inequalities, to appear.