A Note on Lionville Type Theorem to Generalized Solntions of Elliptic Equations
Received:December 01, 1992  
Key Words: elliptic equation   entire solution   Liouville theorem  
Fund Project:
Author NameAffiliation
Liang Xiting Dept. of Math.
Zhongshan Univ Guangzhou
510275 
Liang Xuexin Dept. of Math.
Huaqiao Univ Quanzhou
362011 
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Abstract:
      It is proved that if the generalized entire solution u of the equation (1)satisfies u ∈Wp,loc1(En)∩ Lα(En) for an appropriate α, it must be zero.
Citation:
DOI:10.3770/j.issn:1000-341X.1995.02.013
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