Eigenvalues below the essential spectra of singular elliptic operators-Reference-Cited by-同舟云学术

Eigenvalues below the essential spectra of singular elliptic operators

Published:1986 Issue:1 Volume:297 Page:197-222
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Evans W. D.,Lewis Roger T.

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 Schrödinger operators.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1986-297-01/S0002-9947-1986-0849475-1/S0002-9947-1986-0849475-1.pdf

Reference32 articles.

1. Pure and Applied Mathematics, Vol. 65;Adams, Robert A.,1975

2. Van Nostrand Mathematical Studies, No. 2;Agmon, Shmuel,1965

3. On the equivalence of two types of oscillation for elliptic operators;Allegretto, W.;Pacific J. Math.,1974

4. Nonoscillation theory of elliptic equations of order 2𝑛;Allegretto, W.;Pacific J. Math.,1976

5. Finiteness of lower spectra of a class of higher order elliptic operators;Allegretto, W.;Pacific J. Math.,1979

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