Quasicontinuity on Weighted Sobolev Spaces with Variable Exponent
Received:November 09, 2015  Revised:March 08, 2016
Key Word: variable exponent   Muckenhoupt weight   Sobolev space   quasicontinuity  
Fund ProjectL:Supported by the National Natural Science Foundation of China (Grant Nos.11261041; 11271045; 11361044), the Natural Science Foundation of Ningxia (Grant No.NZ15055) and Research Starting Funds for Imported Talents 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 the paper we give some precise characterizations for the quasicontinuity on weighted Sobolev spaces with variable exponent. Moreover, under the quasicontinuous meanings we obtain the uniqueness result in the weighted Sobolev spaces with variable exponent.
Citation:
DOI:10.3770/j.issn:2095-2651.2016.06.004
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