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Equations du type de Monge-Ampère sur les variétés Riemanniennes compactes. III. (French) Zbl 0497.58026

MSC:
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)
53C20 Global Riemannian geometry, including pinching
58J99 Partial differential equations on manifolds; differential operators
58D17 Manifolds of metrics (especially Riemannian)
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[1] Aubin, T., Equations du type Monge-Ampère sur LES variétés Kählériennes compactes, Bull. sci. math., 2eme série, 102, 63-95, (1978) · Zbl 0374.53022
[2] Berger, M.S., Nonlinearity and functional analysis, (1977), Academic Press New York
[3] Birkhoff, G.; Lane, S.Mac, Algebra, (1967), MacMillan New York
[4] Delanoe, P., ()
[5] Delanoe, P., Equations du type de Monge-Ampère sur LES variétés riemanniennes compactes, I, J. funt. anal., 40, 358-386, (1981) · Zbl 0466.58029
[6] Delanoe, P., Equations du type de Monge-Ampère sur LES variétés riemanniennes compactes, II, J. funct. anal., 41, 341-353, (1981) · Zbl 0474.58023
[7] Giraud, G., Sur différentes questions relatives aux équations du type elliptique, Ann. sc. ecole norm. sup., 47, 197-266, (1930) · JFM 56.0419.03
[8] Hopf, E., Uber den funktionalen insbesondere den analytischen charakter der losungen elliptischer differentialgleichungen zweiter ordnung, Math. Z., 34, No. 2, 194-233, (1931) · JFM 57.0556.01
[9] Protter, M.; Weinberger, H., Maximum priniples in differential equations, (1967), Prentice-Hall Englewood Cliffs, N. J
[10] Yosida, K., Functional analysis, () · Zbl 0152.32102
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