Level Curves of Minimal Graphs

We prove an inequality for the curvature of level sets of minimal graphs having vanishing boundary values and show that if the boundary is concave, then all the level sets are concave.

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1. Verfasser: Weitsman, Allen
Format: Artikel
Sprache:eng
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Zusammenfassung:We prove an inequality for the curvature of level sets of minimal graphs having vanishing boundary values and show that if the boundary is concave, then all the level sets are concave.
DOI:10.48550/arxiv.2008.10197