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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
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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
  • 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