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.
Citation
Pinhong Long. Zhiqiang Gao. Guantie Deng. "Criteria of Wiener Type for Minimally Thin Sets and Rarefied Sets Associated with the Stationary Schrödinger Operator in a Cone." Abstr. Appl. Anal. 2012 1 - 29, 2012. https://doi.org/10.1155/2012/453891
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