A variational problem pertaining to biharmonic maps

Roger Moser

doi:10.1080/03605300802224698

A variational problem pertaining to biharmonic maps

Roger Moser

Department of Mathematical Sciences

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

25 Citations (SciVal)

Abstract

The second derivative of a map into a Riemannian manifold is given by a nonlinear differential operator. We study minimizers and critical points of the L2-norm of this second derivative. We show existence of minimizers with the direct method and we prove a partial regularity result.

Original language	English
Pages (from-to)	1654 -1689
Number of pages	36
Journal	Communications in Partial Differential Equations
Volume	33
Issue number	9
DOIs	https://doi.org/10.1080/03605300802224698
Publication status	Published - 2008

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A variational problem pertaining to biharmonic maps

Abstract

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