Maximum principles for some higher-order semilinear elliptic equations

A. Mareno

doi:10.1017/S001708951000073X

Maximum principles for some higher-order semilinear elliptic equations

A. Mareno

School of Science, Engineering & Technology (Harrisburg)

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

Abstract

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), 421â€"433). Integral bounds on various gradients of the solutions of these equations are obtained.

Original language	English (US)
Pages (from-to)	313-320
Number of pages	8
Journal	Glasgow Mathematical Journal
Volume	53
Issue number	2
DOIs	https://doi.org/10.1017/S001708951000073X
State	Published - May 2011

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1017/S001708951000073X

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Maximum principles for some higher-order semilinear elliptic equations

Abstract

All Science Journal Classification (ASJC) codes

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