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Helicoidal graphs with prescribed mean curvature

Author(s): Marcos Dajczer; Jorge Herbert S. de Lira
Journal: Proc. Amer. Math. Soc. 137 (2009), 2441-2444.
MSC (2000): Primary 53C42
Posted: January 28, 2009
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Abstract | References | Similar articles | Additional information

Abstract: We prove an existence result for helicoidal graphs with prescribed mean curvature in a large class of warped product spaces which comprises space forms.

References:

1.: M. Dajczer and J. H. de Lira. Killing graphs with prescribed mean curvature and Riemannian submersions. To appear in Annales de l'Institut Henri Poincaré - Analyse Non Linéaire.
2.: 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. MR 0282058 (43:7772)

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Additional Information:

Marcos Dajczer
Affiliation: Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil
Email: marcos@impa.br

Jorge Herbert S. de Lira
Affiliation: Departamento de Matematica, Universidade Federal do Ceará, Bloco 914, Campus do Pici, 60455-760, Fortaleza, Ceara, Brazil
Email: jorge.lira@pq.cnpq.br

DOI: 10.1090/S0002-9939-09-09801-3
PII: S 0002-9939(09)09801-3
Received by editor(s): September 25, 2008,
Received by editor(s) in revised form: October 16, 2008
Posted: January 28, 2009
Communicated by: Richard A. Wentworth
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.


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