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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
72/2001

A generalization of Rellich's theorem and regularity of varifolds minimizing curvature

Roger Moser

Abstract

We prove a generalization of Rellich's theorem for weakly differentiable functions on curvature varifolds (see definitions below) and apply it to prove regularity of minimizers of curvature integrals under certain assumptions.

Received:
Oct 1, 2001
Published:
Oct 1, 2001

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Preprint
2001 Repository Open Access
Roger Moser

A generalization of Rellich's theorem and regularity of varifolds minimizing curvature