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On the equation of surfaces of prescribed mean curvature. Existence and uniqueness without boundary conditions. (English) Zbl 0381.35035

MSC:
35J60 Nonlinear elliptic equations
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
53A99 Classical differential geometry
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References:
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[4] Emmer, M.: Superfici di curvatura media assegnata con ostacolo. Ann. di Matem. Pura e Appl.109, 371-389 (1976) · Zbl 0336.53003 · doi:10.1007/BF02416969
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[12] Hopf, E.: Elementare Bemerkungen über die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus. Berlin, Sber. Pruss. Akad. Wiss.19, 147-152 (1927) · JFM 53.0454.02
[13] Massari, U., Pepe, L.: Sull’approssimazione degli aperti lipschitziani di ? n con varietà differenziabili. Boll. U.M.I. (4)10, 532-544 (1974) · Zbl 0316.49031
[14] Massari, U., Pepe, L.: Sulle successioni convergenti di superfici a curvatura media assegnata. Rend. Sem. Mat. Padova.53, 53-68 (1975) · Zbl 0358.49020
[15] Miranda, M.: Superfici cartesiane generalizzate ed insiemi di perimetro finito sui prodotti cartesiani. Ann. Scuola Norm. Sup. Pisa18, 515-542 (1964) · Zbl 0152.24402
[16] Miranda, M.: Comportamento delle successioni convergenti di frontiere minimali. Rend. Sem. Mat. Padova38, 238-257 (1967) · Zbl 0154.37102
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