scholarly journals Retraction Note: A remark on the a-minimally thin sets associated with the Schrödinger operator

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Gaixian Xue
Keyword(s):  
Schrödinger Operator ◽  
Schrodinger Operator ◽  
Thin Sets

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

2012 ◽  
Vol 2012 ◽  
pp. 1-29
Author(s):  
Pinhong Long ◽  
Zhiqiang Gao ◽  
Guantie Deng
Keyword(s):  
Schrödinger Operator ◽  
Boundary Point ◽  
Martin Boundary ◽  
Schrodinger Operator ◽  
Stationary Schrödinger Operator ◽  
Thin Set ◽  
Thin Sets ◽  
Wiener Type ◽  
Minimally Thin Set ◽  
Rarefied Set

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

scholarly journals Retraction Note: Minimally thin sets associated with the stationary Schrödinger operator

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Tao Zhao
Keyword(s):  
Schrödinger Operator ◽  
Schrodinger Operator ◽  
Link Type ◽  
Stationary Schrödinger Operator ◽  
Thin Sets ◽  
Retraction Notice

This article has been retracted. Please see the Retraction Notice for more detail: 10.1186/s13660-021-02575-1

scholarly journals On the two-dimensional Schrödinger operator with an attractive potential of the Bessel-Macdonald type

2020 ◽  
pp. 168385
Author(s):  
Wellisson B. De Lima ◽  
Oswaldo M. Del Cima ◽  
Daniel H.T. Franco ◽  
Bruno C. Neves
Keyword(s):  
Schrödinger Operator ◽  
Attractive Potential ◽  
Two Dimensional ◽  
Schrodinger Operator
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