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arXiv · 2305.17501

On March's criterion for transience on rotationally symmetric manifolds

Jhon E. Bravo·Jean C. Cortissoz
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Abstract

In this short paper we show that March's criterion for the existence of a bounded non constant harmonic function on a weak model is also a necessary and sufficient condition for the solvability of the Dirichlet problem at infinity on a slight generalisation of a weak model (rotationally symmetric) metric on $\mathbb{R}^n$.

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Jhon E. Bravo, Jean C. Cortissoz. 2023-05-27. On March's criterion for transience on rotationally symmetric manifolds. https://arxiv.org/abs/2305.17501

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