Criterions of Wiener type for minimally thin sets and rarefied sets associated with the stationary Schr\"odinger operator in a cone
Abstract
In the paper we give some criterions for a-minimally thin sets and a-rarefied sets associated with the stationary Schr\"odinger operator at a fixed Martin boundary point or ∞ 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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