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A boundary maximum principle for stationary pairs of varifolds with fixed contact angle

Part of: Global differential geometry Manifolds

Published online by Cambridge University Press:  08 March 2024

Xuwen Zhang Open the ORCID record for Xuwen Zhang [Opens in a new window]
Xuwen Zhang*
Affiliation:
School of Mathematical Sciences, Xiamen University, Xiamen, PR China Institut für Mathematik, Goethe-Universität, Frankfurt, Germany ([email protected])
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Abstract

In this note, we establish a boundary maximum principle for a class of stationary pairs of varifolds satisfying a fixed contact angle condition in any compact Riemannian manifold with smooth boundary.

Keywords

boundary maximum principlevarifoldscontact angle condition

MSC classification

Primary: 53C42: Immersions (minimal, prescribed curvature, tight, etc.) 49Q15: Geometric measure and integration theory, integral and normal currents
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 67 , Issue 2 , May 2024 , pp. 316 - 335
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on Behalf of The Edinburgh Mathematical Society.

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