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MAXIMUM PRINCIPLES FOR SOME HIGHER-ORDER SEMILINEAR ELLIPTIC EQUATIONS

Published online by Cambridge University Press:  13 December 2010

A. MARENO
A. MARENO*
Affiliation:
Penn State University, Middletown, PA 17057, USA e-mail: aum24@psu.edu
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Abstract

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We deduce maximum principles for fourth-, sixth- and eighth-order elliptic equations by modifying an auxiliary function introduced by Payne (J. Analyse Math. 30 (1976), 421–433). Integral bounds on various gradients of the solutions of these equations are obtained.

Keywords

35B4535B50
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 53 , Issue 2 , May 2011 , pp. 313 - 320
Copyright
Copyright © Glasgow Mathematical Journal Trust 2010

References

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