On the eigenvalue counting function for Schrödinger operator: some upper bounds
The aim of this work is to provide an upper bound on the eigenvalues counting function N(Rn, −∆+V, e) of a Schr¨odinger operator −∆+V on R^n corresponding to a potential V ∈ L^(n/2 +ε) (Rn, dx), in terms of the sum of the eigenvalues counting function of the Dirichlet integral D with Dirichlet bound...
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| Format: | Article |
| Language: | English |
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Sapienza Università Editrice
2018-01-01
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| Series: | Rendiconti di Matematica e delle Sue Applicazioni |
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| Online Access: | http://www1.mat.uniroma1.it/ricerca/rendiconti/39_2_(2018)_257-276.html |