Infinite boundary value problems for constant mean curvature graphs in ℍ 2 × ℝ and S2 × ℝ

American Journal of Mathematics

Volumn 131, Issue 1, 2009, Pages 195-226

  Hauswirth, Laurent ^a   Spruck, Joel ^b   Rosenberg, Harold ^c  

^a UFR des Sciences et Technologie   (France)

^b INSTITUT DE MATHÉMATIQUES DE JUSSIEU   (France)

^c JOHNS HOPKINS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 68149121987     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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4. 2 × R, Bull. Braz. Math. Soc. 33 (2002), 263-292.
5. J. C. C. Nitsche, Über ein verallgemeinertes Dirichletsches Problem für die Minimalflachengleichung und hebbare Unstetigkeiten ihrer Lösungen, Math. Ann. 158 (1965), 203-214.
6. A. L. Pinheiro, The theorem of Jenkins-Serrin in M × R, preprint, 2005.
7. J. Serrin, The problem of Dirichlet for quasilinear elliptic differential equations with many independent variables, Philos. Trans. Roy. Soc. London Ser. A 264 (1969), 413-496.
8. -, The Dirichlet problem for surfaces of constant mean curvature, Proc. London Math. Soc. 21 (1970), 361-384.
9. J. Spruck, Infinite boundary value problems for surfaces of constant mean curvature, Arch. Rat. Mech. Anal. 49 (1972), 1-31.
10. -, Interior gradient estimates and existence theorems for constant mean curvature graphs in M × R, Pure Appl. Math. Q. 3 (2007), 785-800.
11. S. Zhang, Curvature estimates for CMC surfaces in three dimensional manifolds, Math. Z. 249 (2005), 613-624.