On the Lazer-McKenna conjecture and its applications
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- by Sanjiban Santra PDF
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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.References
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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