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Nonlinear perturbations of uncoupled systems of elliptic operators. (English) Zbl 0297.35027


MSC:

35J45 Systems of elliptic equations, general (MSC2000)
35B20 Perturbations in context of PDEs
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References:

[1] Brezis, H.: Operateurs maximaux monotone. Mathematics Studies No. 5, Amsterdam: North-Holland 1973 · Zbl 0257.46029
[2] Brezis, H.: Nouveaux theoremes de regularité pour les problemes unilateraux. (To appear)
[3] Brezis, H., Crandall, M., Pazy, A.: Perturbations of nonlinear maximal monotone sets in Banach space. Comm. Pure Appl. Math.23, 123-144 (1970) · Zbl 0182.47501 · doi:10.1002/cpa.3160230107
[4] Browder, F.: Existence theory for boundary value problems for quasi-linear elliptic systems with strongly nonlinear lower order terms. Proc. Sympos. Pure Math. (To appear) · Zbl 0265.35035
[5] Da Prato, G.: Somme d’applications non-lineaires. Ist. Naz. Alta Mat. Sympos. Mat. Vol.VII, 233-268 (1971) · Zbl 0234.47048
[6] Friedman, A.: Partial differential equations. New York: Holt, Rinehart, and Winston, Inc. 1969 · Zbl 0224.35002
[7] Hess, P.: On nonlinear mappings of monotone type with respect to two Banach spaces. J. Math. Pures et Appl.52, 13-26 (1973) · Zbl 0222.47019
[8] Hess, P.: On a unilateral problem associated with elliptic operators. Proc. Amer. Math. Soc.39, 94-100 (1973) · Zbl 0266.35031 · doi:10.1090/S0002-9939-1973-0328336-7
[9] Kato, T.: Accretive operators and nonlinear evolution equations in Banach spaces. Proc. Sympos. Pure Math. Vol. 18, Part 1, Amer. Math. Soc., Providence, R.I., 138 to 161, 1970 · Zbl 0232.47069
[10] Martin, R.: Invariant sets for perturbed semigroups of linear operators. Annali Mat. Pura Appl. (To appear) · Zbl 0315.34074
[11] Martin, R.: Approximation and existence of solutions to ordinary differential equations in Banach spaces. Funk. Ekv.16, 195-211 (1973) · Zbl 0296.34058
[12] Ton, B.: Pseudo-monotone operators in Banach spaces and nonlinear elliptic equations. Math. Z.121, 243-252 (1971) · Zbl 0222.47018 · doi:10.1007/BF01111598
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