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arXiv · 1405.0944

A Note on Harmonic Functions on surfaces

Jean C. Cortissoz
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Abstract

We review and give elementary proofs of Liouville type properties of harmonic and subharmonic functions in the plane endowed with a complete Riemannian metric, and prove a gap theorem for the possible growth of harmonic functions when this metric has nonnegative Gaussian curvature.

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Jean C. Cortissoz. 2014-05-05. A Note on Harmonic Functions on surfaces. https://arxiv.org/abs/1405.0944

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