Maximum principles for some higher-order semilinear elliptic equations

Research output: Contribution to journalArticle

4 Citations (Scopus)

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 1 2011

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Auxiliary Function
Semilinear Elliptic Equations
Maximum Principle
Elliptic Equations
Deduce
Higher Order
Gradient

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Maximum principles for some higher-order semilinear elliptic equations. / Mareno, Anita.

In: Glasgow Mathematical Journal, Vol. 53, No. 2, 01.05.2011, p. 313-320.

Research output: Contribution to journalArticle

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