## Eigenvalues below the essential spectra of singular elliptic operators

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- by W. D. Evans and Roger T. Lewis PDF
- Trans. Amer. Math. Soc.
**297**(1986), 197-222 Request permission

## Abstract:

A new technique is developed for determining if the number of eigenvalues below the essential spectrum of a singular elliptic differential operator is finite. A method is given for establishing lower bounds for the least point of the essential spectrum in terms of the behavior of the coefficients and weight near the singularities. Higher-order operators are included in these results as well as second-order SchrĂ¶dinger operators.## References

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## Additional Information

- © Copyright 1986 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**297**(1986), 197-222 - MSC: Primary 35P15; Secondary 35J25, 47F05
- DOI: https://doi.org/10.1090/S0002-9947-1986-0849475-1
- MathSciNet review: 849475