Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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EIGENVALUE INEQUALITIES OF THE SCHRÖDINGER-TYPE OPERATOR ON BOUNDED DOMAINS IN STRICTLY PSEUDOCONVEX CR MANIFOLDS

  • Du, Feng (School of Mathematics and Physics Science Jingchu University of Technology) ;
  • Li, Yanli (School of Electronic and Information Science Jingchu University of Technology) ;
  • Mao, Jing (Department of Mathematics Harbin Institute of Technology)
  • Received : 2013.12.18
  • Published : 2015.01.31
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Abstract

In this paper, we study the eigenvalue problem of Schr$\ddot{o}$dinger-type operator on bounded domains in strictly pseudoconvex CR manifolds and obtain some universal inequalities for lower order eigenvalues. Moreover, we will give some generalized Reilly-type inequalities of the first nonzero eigenvalue of the sub-Laplacian on a compact strictly pseudoconvex CR manifold without boundary.

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References

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