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On the Lazer-McKenna conjecture and its applications


Author: Sanjiban Santra
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
Published electronically: March 18, 2015
MathSciNet review: 3373934
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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.


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Additional Information

Sanjiban Santra
Affiliation: School of Mathematics and Statistics, The University of Sydney, NSW 2006, Australia
Email: sanjiban.santra@sydney.edu.au

DOI: https://doi.org/10.1090/S0002-9939-2015-12572-5
Keywords: Bounded solutions, biharmonic equation, sign-changing non-linearity
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
Article copyright: © Copyright 2015 American Mathematical Society