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Image d’une somme d’opérateurs monotones et applications. (French) Zbl 0323.47041


MSC:

47H05 Monotone operators and generalizations
47J05 Equations involving nonlinear operators (general)
35J60 Nonlinear elliptic equations
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References:

[1] H. Brezis,Opérateurs Maximaux Monotones, Lecture Notes in Mathematics, North-Holland, 1973. · Zbl 0252.47055
[2] Brezis, H.; Browder, F., Some new results about Hammerstein equations, Bull. Amer. Math. Soc., 80, 568-572 (1974) · Zbl 0286.45007 · doi:10.1090/S0002-9904-1974-13500-7
[3] Brezis, H.; Browder, F., Nonlinear integral equations and systems of Hammerstein type, Advances in Math., 18, 115-147 (1975) · Zbl 0318.45011 · doi:10.1016/0001-8708(75)90155-3
[4] F. Browder,Nonlinear functional analysis and nonlinear integral equations of Hammerstein and Urysohn type, inContributions to Nonlinear Functional Analysis, ed. E. Zarantonello, Acad. Press, 1971, pp. 425-500. · Zbl 0267.47038
[5] Hess, P., On nonlinear equations of Hammerstein type in Banach spaces, Proc. Amer. Math. Soc., 31, 308-312 (1971) · Zbl 0229.47041 · doi:10.2307/2038272
[6] Hess, P., A remark on a class of linear monotone operators, Math. Z., 125, 104-106 (1972) · Zbl 0229.47042 · doi:10.1007/BF01110920
[7] Hess, P., On semi-coercive nonlinear problems, Indiana Univ. Math. J., 23, 645-654 (1974) · Zbl 0259.47051 · doi:10.1512/iumj.1974.23.23055
[8] Landesman, E. M.; Lazer, A. C., Nonlinear perturbations of linear elliptic boundary value problems at resonance, J. Appl. Math. Mech., 19, 609-623 (1970) · Zbl 0193.39203
[9] S. Maury,Un problème de frottement équivalent à un problème de poursuite: étude aymptotique, Séminaire d’analyse convexe, Montpellier, exposé no. 8, 1973. · Zbl 0362.70005
[10] L. Nirenberg,Generalized degree and nonlinear problems, inContributions to Nonlinear Functional Analysis, ed. E. Zarantonello, Acad. Press, 1971, pp. 1-10. · Zbl 0267.47034
[11] Schatzman, M., Problèmes aux limites non linéaires, non coercifs, Ann. Scuola Norm. Sup. Pisa, 27, 641-686 (1973) · Zbl 0324.47031
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