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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
MathSciNet review:
2495280
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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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