Acta mathematica scientia,Series A ›› 1998, Vol. 18 ›› Issue (2): 176-183.

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A Class of Perturbations for Laplacian

Tong Yusun   

  1. Department of Mathematics, Fudan University, Shanghai 200433
  • Received:1996-05-27 Online:1998-06-26 Published:1998-06-26

Abstract: A class of perturbations for Laplacian in weighted L2 space is discussed. The domain of its Friedrich extension is given. It is proved that there isn't any positive eigenvalue of these operators under some conditions.

Key words: Laplacian, Perturbation for operators, Friedrich extension, Positive eigenvalue

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