Criteria of Wiener Type for Minimally Thin Sets and Rarefied Sets Associated with the Stationary Schrödinger Operator in a Cone

Pinhong Long, Zhiqiang Gao and Guantie Deng

Abstract and Applied Analysis, 2012, vol. 2012, 1-29

Abstract:

We give some criteria for a -minimally thin sets and a -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 a -rarefied set. Finally we illustrate the relation between the a -minimally thin set and the a -rarefied set in a cone.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:453891

DOI: 10.1155/2012/453891

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