Behavior at Infinity for Nonnegative Superfuctions in a Cone
Received:July 08, 2014  Revised:March 04, 2015
Key Words: stationary Schr\"{o}dinger operator   superfunction   minimally thin sets   cone  
Fund Project:Supported by the National Natural Science Foundation of China (Grant Nos.11271045; 11261041; 11461053), the Natural Science Foundation of Ningxia University (Grant No.NDZR1301) and Startup Foundation for Doctor Scientific Research of Ningxia University.
Author NameAffiliation
Pinhong LONG School of Mathematics and Computer Science, Ningxia University, Ningxia 750021, P. R. China 
Huili HAN School of Mathematics and Computer Science, Ningxia University, Ningxia 750021, P. R. China 
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Abstract:
      In this paper we show that a positive superfunction on a cone behaves regularly at infinity outside a minimally thin set associated with the stationary Schr\"{o}dinger operator.
Citation:
DOI:10.3770/j.issn:2095-2651.2015.04.006
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