Existence of equivariant biharmonic maps

Peter Hornung; Roger Moser

doi:10.1093/imrn/rnv212

Existence of equivariant biharmonic maps

Peter Hornung, Roger Moser

Department of Mathematical Sciences

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Abstract

We consider two compact Riemannian manifolds M and N and a compact Lie group G that acts on both by isometries. Under certain assumptions on the structure of M and of the quotient space M/G, we construct equivariant biharmonic maps u: M → N with prescribed boundary data.

Original language	English
Pages (from-to)	2397-2422
Number of pages	26
Journal	International Mathematics Research Notices
Volume	2016
Issue number	8
Early online date	24 Jul 2015
DOIs	https://doi.org/10.1093/imrn/rnv212
Publication status	Published - 2016

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This is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record: Hornung, P & Moser, R 2016, 'Existence of equivariant biharmonic maps' International Mathematics Research Notices, vol 2016, no. 8, pp. 2397-2422., is available online at: http://dx.doi.org/10.1093/imrn/rnv212
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DO - 10.1093/imrn/rnv212

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Existence of equivariant biharmonic maps

Abstract

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