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

Pinhong Long | Zendy; Zhiqiang Gao | Zendy; Guantie Deng | Zendy

Open Access

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

Author(s) -

Pinhong Long,

Zhiqiang Gao,

Guantie Deng

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/453891

Subject(s) - mathematics , cone (formal languages) , operator (biology) , set (abstract data type) , type (biology) , point (geometry) , mathematical analysis , boundary (topology) , schrödinger's cat , relation (database) , geometry , algorithm , computer science , ecology , biochemistry , chemistry , repressor , database , biology , transcription factor , gene , programming language

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. © 2012 Pinhong Long et al.

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