Hypersurfaces of prescribed mean curvature over obstacles
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Bakel'man, I.Y.: Geometric problems in quasilinear elliptic equations. Russ. math. Surveys25, 45?109 (1971)
Brezis, H.: Equations et inéquations non linéaires dans les espaces vectoriels en dualité. Ann. Inst. Fourier18, 115?175 (1968)
Brezis, H.: Problèmes unilatereaux. J. Math. pur. appl. IX Ser.51, 1?168 (1972)
Brezis, H., Stampacchia, G.: Sur la regularité de la solution d'inéquations elliptiques. Bull. Soc. math. France96, 153?180 (1968)
Browder, F.E.: Problèmes non linéaires. Montréal: Les Presses de l'Université 1966
Giaquinta, M., Pepe, L.: Esistenza e regolarità per il problema dell' area minima con ostacoli inn variabili. Ann. Scuola norm. sup. Pisa, Sci. fis. mat., III. Ser.25, 481?507 (1971)
Giusti, E.: Superfici minime cartesiane con ostacoli discontinui. Arch. rat. Mech. Analysis35, 47?82 (1969)
Hartmann, P., Stampacchia, G.: On some non linear elliptic differential functional equations. Acta math.115, 271?310 (1966)
Hildebrandt, S.: On the regularity of solutions of two-dimensional variational problems with obstructions. Commun. pure appl. Math.25, 479?496 (1972)
Hildebrandt, S., Kaul, H.: Two-dimensional variational problems with obstructions, and Plateau's problem forH-surfaces in a Riemannian manifold. Commun. pure appl. Math.25, 187?223 (1972)
Jenkins, H., Serrin, J.: The Dirichlet problem for the minimal surface equation in higher dimensions. J. reine angew. Math.229, 170?187 (1968)
Kinderlehrer, D.S.: The coincidence set of solutions of certain variational inequalities. Arch. rat. Mech. Analysis40, 231?250 (1971)
Kinderlehrer, D.S.: Variational inequalities with lower dimensional obstacles. Israel J. Math.10, 339?348 (1971)
Ladyzhenskaya, O.A., Ural'tseva, N.N.: Linear and quasilinear elliptic equations. New York-London: Academic Press 1968
Ladyzhenskaya, O.A., Ural'tseva, N.N.: On some classes of nonuniformly elliptic equations. Sem. Math., V.A. Steklov math. Inst., Leningrad11, 47?53 (1970)
Ladyzhenskaya, O.A., Ural'tseva, N.N.: Local estimates for gradients of solutions of non-uniformly elliptic and parabolic equations. Commun. pure appl. Math.23, 677?703 (1969)
Lewy, H., Stampacchia, G.: On the regularity of the solution of a variational inequality. Commun. pure appl. Math.22, 153?188 (1969)
Lewy, H., Stampacchia, G.: On existence and smoothness of solutions of some noncoercive variational inequalities. Arch. rat. Mech. Analysis41, 241?253 (1971)
Lions, J.L.: Quelques méthodes de résolution des problèmes aux limites non linéaires. Paris: Dunod 1969
Miranda, M.: Un principo di massimo forte per le frontiere minimale e una sua applicazione alla risoluzione del problema al contorno per l'equazione delle superfici di area minima. Rend. Sem. mat. Univ. PadovaXLV, 355?366 (1971)
Morrey, C.B.: Multiple integrals in the calculus of variations. Berlin-Heidelberg-New York: Springer 1966
Necas, J.: Les méthodes directes en théorie des équations elliptiques. Paris: Masson et Cie 1967
Nitsche, J.C.C.: Variational problems with inequalities as boundary conditions or how to fashion a cheap hat for Giacometti's brother. Arch. rat. Mech. Analysis35, 83?113 (1969)
Serrin, J.: The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables. Philos. Trans. roy. Soc. London, Ser. A264, 413?496 (1969)
Serrin, J.: Gradient estimates for solutions of nonlinear elliptic and parabolic equations. In: Contributions to nonlinear functional analysis, pp. 565?602 (E.H. Zarantonello editor). New York-London: Academic Press (1971)
Stampacchia, G.: Équations elliptiques du second ordre à coefficients discontinus. Montréal: Les Presses de l'Université 1966
Stampacchia, G.: On some regular multiple integral problems in the calculus of variations. Commun. pure appl. Math.16, 383?421 (1963)
Stampacchia, G.: Variational inequalities. In: Theory and applications of monotone operators, pp. 101?192. A. Ghizetti (editor). Gubbio: Oderisi 1969
Stampacchia, G.: Regularity of solutions of some variational inequalities. In: Nonlinear Functional Analysis Proc. Symp. Pure Math. Vol.XVIII, part 1, Chicago 1968, pp. 271?281 Providence: Amer. Math. Soc. 1970