, Volume 24, Issue 3, pp 1201-1210
Date: 21 Nov 2012

A Reformulation of the Biharmonic Map Equation

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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.

Communicated by Jiaping Wang.