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Criteria of Wiener Type for Minimally Thin Sets and Rarefied Sets Associated with the Stationary Schrödinger Operator in a Cone
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by
Pinhong Long,
Zhiqiang Gao,
Guantie Deng
Abstract
We give some criteria for<jats:italic>a</jats:italic>-minimally thin sets and<jats:italic>a</jats:italic>-rarefied sets associated with the stationary Schrödinger 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 an<jats:italic>a</jats:italic>-rarefied set. Finally we illustrate the relation between the<jats:italic>a</jats:italic>-minimally thin set and the<jats:italic>a</jats:italic>-rarefied set in a cone.
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