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.

References

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Article contents

Curvature of Level Curves of Harmonic Functions

Abstract

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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

Keywords

References

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