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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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On the Lazer-McKenna conjecture and its applications
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by Sanjiban Santra PDF
Proc. Amer. Math. Soc. 143 (2015), 4361-4372 Request permission

Abstract:

In this paper, we prove the Lazer-McKenna conjecture for the suspension bridge model in higher dimension. We also discuss some properties of the limiting problem related to the Swift-Hohenberg equation.
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Additional Information
  • Sanjiban Santra
  • Affiliation: School of Mathematics and Statistics, The University of Sydney, NSW 2006, Australia
  • MR Author ID: 774625
  • Email: sanjiban.santra@sydney.edu.au
  • Received by editor(s): February 21, 2014
  • Received by editor(s) in revised form: June 16, 2014
  • Published electronically: March 18, 2015
  • Additional Notes: The author was supported by the Australian Research Council.
  • Communicated by: Catherine Sulem
  • © Copyright 2015 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 143 (2015), 4361-4372
  • MSC (2000): Primary 35G20; Secondary 35B08, 35B40, 35B53
  • DOI: https://doi.org/10.1090/S0002-9939-2015-12572-5
  • MathSciNet review: 3373934