A reformulation of the biharmonic map equation

Peter Hornung, Roger Moser

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Abstract

The known Euler-Lagrange equation for (intrinsic) biharmonic maps is unsuitable for the study of some of the critical points of the corresponding functional, as it requires too much regularity. We derive and discuss a variant of the equation that does not have this shortcoming.
Original languageEnglish
Pages (from-to)1201-1210
JournalJournal of Geometric Analysis
Volume24
Issue number3
DOIs
Publication statusPublished - Jul 2014

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