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Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential

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  • Xiaoyao Jia
  • Yan Zhao
  • Haoyu Zhai

Abstract

We study the asymptotic behaviors of the discrete eigenvalue of Schrödinger operator with We obtain the leading terms of discrete eigenvalues of when the eigenvalues tend to 0. In particular, we obtain the asymptotic behaviors of eigenvalues when has singularity at .

Suggested Citation

  • Xiaoyao Jia & Yan Zhao & Haoyu Zhai, 2014. "Asymptotic Behaviors of the Eigenvalues of Schrödinger Operator with Critical Potential," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, March.
    • Handle: RePEc:hin:jnlaaa:170397
    DOI: 10.1155/2014/170397
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