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arXiv · 1701.05820

Convexity of level sets and a two-point function

Ben Weinkove
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Abstract

We establish a maximum principle for a two-point function in order to analyze the convexity of level sets of harmonic functions. We show that this can be used to prove a strict convexity result involving the smallest principal curvature of the level sets.

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Ben Weinkove. 2017-01-20. Convexity of level sets and a two-point function. https://doi.org/10.2140/pjm.2018.295.499

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