Finiteness of lower spectra of a class of higher order elliptic operators.
W. Allegretto
Source: Pacific J. Math. Volume 83, Number 2
(1979), 303-309.
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Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102784507
Zentralblatt MATH identifier: 0393.35053
Mathematical Reviews number (MathSciNet): MR557930
References
[1] W. Allegretto, Spectral estimates and oscillation of singular differentialoperators, Proc. Amer. Math. Soc, (to appear).
Mathematical Reviews (MathSciNet): MR80d:35009
[2] W. Allegretto, On the equivalence of two types of nonoscillation for elliptic operators, Pacific J. Math., 55 (1974), 319-328.
Mathematical Reviews (MathSciNet): MR51:10827
Zentralblatt MATH: 0279.35036
[3] W. Allegretto, Nonoscillationtheory of elliptic equations of order 2n, Pacific J. Math., 64 (1976), 1-16.
Mathematical Reviews (MathSciNet): MR54:3135
Zentralblatt MATH: 0308.35006
[4] W. Allegretto, A Kneser theorem for higher order elliptic equations, Canad. Math. Bull., 20 (1977), 1-8.
Mathematical Reviews (MathSciNet): MR56:6067
Zentralblatt MATH: 0401.35004
[5] I. M. Glazman, Direct methods of qualitative spectral analysisof singulardiffer- ential operators, Israel Program for Scientific Translations, Davey and Co., New York, 1965.
Mathematical Reviews (MathSciNet): MR32:8210
Zentralblatt MATH: 0143.36505
[6] W. Moss and J. Piepenbrink, Positive solutions of elliptic equations, Pacific J. Math., 75 (1978), 219-226.
Mathematical Reviews (MathSciNet): MR80b:35008
[7] J. Piepenbrink, Nonoscillatory elliptic equations, J. Differential Equations, 15 (1974), 541-550.
Mathematical Reviews (MathSciNet): MR49:7573
Zentralblatt MATH: 0289.35026
[8] J. Piepenbrink, A conjecture of Glazman, J. Differential Equations, 24 (1977), 173-177. 9# fFiniteness of the lower spectrum of Schr'dinger operators, Math. Z., 14O (1974), 29-40.
Mathematical Reviews (MathSciNet): MR56:12651
Zentralblatt MATH: 0353.35071
[10] F. Rellich, Perturbation Theory of EigenvalueProblems, Gordon and Breach, New York, 1969.
Mathematical Reviews (MathSciNet): MR39:2014
Zentralblatt MATH: 0181.42002
[11] M. Schechter, Spectra of Partial DifferentialOperators, North Holland, Amsterdam, 1971.
Mathematical Reviews (MathSciNet): MR56:6144
Zentralblatt MATH: 0225.35001
[12] C. A. Swanson, Comparison and Oscillation Theory of Linear DifferentialEqua- tions, Academic Press, New York, 1968.
Zentralblatt MATH: 0191.09904
Pacific Journal of Mathematics
