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Weyl’s Type Estimates on the Eigenvalues of Critical Schrödinger Operators

✍ Scribed by Nikos I. Karachalios


Publisher
Springer
Year
2008
Tongue
English
Weight
157 KB
Volume
83
Category
Article
ISSN
0377-9017

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Critical potentials of the eigenvalue ra
✍ Songbo Hou 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 300 KB

In this paper, we consider an operator H defined on a compact smooth n-manifold M by H = -+ q acting on functions with Dirichlet or Neumann boundary conditions in the case ∂ M = ∅ and with eigenvalues λ 1 (q) < λ 2 (q) ≤ λ 3 (q) ≤ • • •. We investigate critical potentials of the ratio of two consecu