Curvature of Level Curves of Harmonic Functions

Marvin Ortel; Walter Schneider

doi:10.4153/CMB-1983-066-4

Abstract

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If H is an arbitrary harmonic function defined on an open set Ω⊂ℂ, then the curvature of the level curves of H can be strictly maximal or strictly minimal at a point of Ω. However, if Ω is a doubly connected domain bounded by analytic convex Jordan curves, and if H is harmonic measure of Ω with respect to the outer boundary of Ω, then the minimal curvature of the level curves of H is attained on the boundary of Ω.

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Curvature of Level Curves of Harmonic Functions

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References

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

Article contents

Curvature of Level Curves of Harmonic Functions

Abstract

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References

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