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On a class of strongly nonlinear elliptic variational inequalities. (English) Zbl 0277.49002


MSC:

49J27 Existence theories for problems in abstract spaces
47H99 Nonlinear operators and their properties
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References:

[1] Brézis, H.: Problèmes unilatéraux. J. Math. pures appl.51, 1-168 (1972) · Zbl 0237.35001
[2] Brézis, H., Stampacchia, G.: Sur la régularité de la solution d’inéquations elliptiques. Bull. Soc. math. France96, 153-180 (1968) · Zbl 0165.45601
[3] Brézis, H., Strauss, W.A.: Semi-linear second-order elliptic equations inL 1. J. Math. Soc. Japan25, 565-590 (1973) · Zbl 0278.35041 · doi:10.2969/jmsj/02540565
[4] Browder, F.E.: On the unification of the calculus of variations and the theory of monotone nonlinear operators in Banach spaces. Proc. Nat. Acad. Sc.56, 419-425 (1966) · Zbl 0143.36902 · doi:10.1073/pnas.56.2.419
[5] Gossez, J.-P.: Opérateurs monotones non linéaires dans les espaces de Banach non réflexifs. J. Math. Anal. Appl.34, 371-395 (1971) · Zbl 0228.47040 · doi:10.1016/0022-247X(71)90119-3
[6] Hess, P.: On nonlinear mappings of monotone type with respect to two Banach spaces. J. Math. pures appl.52, 13-26 (1973) · Zbl 0222.47019
[7] Hess, P.: On semi-coercive nonlinear problems. Indiana Univ. Math. J.23, 645-654 (1974) · Zbl 0269.47029 · doi:10.1512/iumj.1974.23.23055
[8] Hess, P.: Nonlinear perturbations of linear elliptic operators. Proc. Conference on differential equations, Dundee, 1974 (to appear) · Zbl 0298.35017
[9] Hess, P.: Variational inequalities for strongly nonlinear elliptic operators. J. Math. pures appl.52, 285-297 (1973) · Zbl 0222.47020
[10] Martin, R.H.: Nonlinear perturbations of second order elliptic operators (to appear)
[11] Strauss, W.A.: On weak solutions of semi-linear hyperbolic equations. Ann. Acad. brasil. Cienc.42, 645-651 (1970) · Zbl 0217.13104
[12] Ton, B.A.: On strongly nonlinear elliptic variational inequalities. Pacific J. Math.48, 279-291 (1973) · Zbl 0288.49006
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