A reformulation of the biharmonic map equation

Peter Hornung; Roger Moser

doi:10.1007/s12220-012-9369-2

A reformulation of the biharmonic map equation

Peter Hornung, Roger Moser

Department of Mathematical Sciences

Max Planck Institute for Mathematics in the Sciences

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

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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 language	English
Pages (from-to)	1201-1210
Journal	Journal of Geometric Analysis
Volume	24
Issue number	3
DOIs	https://doi.org/10.1007/s12220-012-9369-2
Publication status	Published - Jul 2014

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title = "A reformulation of the biharmonic map equation",

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.",

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A reformulation of the biharmonic map equation

Abstract

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THE VARIATIONAL APPROACH TO BIHARMONIC MAPS

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A reformulation of the biharmonic map equation

Abstract

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THE VARIATIONAL APPROACH TO BIHARMONIC MAPS

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