Maximum principles for some higher-order semilinear elliptic equations

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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 languageEnglish (US)
Pages (from-to)313-320
Number of pages8
JournalGlasgow Mathematical Journal
Volume53
Issue number2
DOIs
StatePublished - May 2011

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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