Helicoidal graphs with prescribed mean curvature
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- by Marcos Dajczer and Jorge Herbert S. de Lira PDF
- Proc. Amer. Math. Soc. 137 (2009), 2441-2444 Request permission
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
- 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.
- 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 282058, DOI 10.1098/rsta.1969.0033
Additional Information
- Marcos Dajczer
- Affiliation: Instituto Nacional de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil
- MR Author ID: 54140
- 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
- Received by editor(s): September 25, 2008
- Received by editor(s) in revised form: October 16, 2008
- Published electronically: January 28, 2009
- Communicated by: Richard A. Wentworth
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 2441-2444
- MSC (2000): Primary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-09-09801-3
- MathSciNet review: 2495280