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arXiv · 1205.6081

Criterions of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schrödinger operator in a cone

Pinhong Long·Zhiqiang Gao·Guantie Deng
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Abstract

In the paper we give some criterions for a-minimally thin sets and a-rarefied sets associated with the stationary Schrödinger operator at a fixed Martin boundary point or {\infty} with respect to a cone. Moreover, we show that a positive superfunction on a cone behaves regularly outside a-rarefied set. Finally we illustrate the relation between a-minimally thin set and a-rarefied set in a cone.

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Pinhong Long, Zhiqiang Gao, Guantie Deng. 2012-05-28. Criterions of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schrödinger operator in a cone. https://arxiv.org/abs/1205.6081

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