Pacific Journal of Mathematics

Positive solutions and spectral properties of second order elliptic operators.

W. Allegretto
Source: Pacific J. Math. Volume 92, Number 1 (1981), 15-25.
First Page: Show Hide
Primary Subjects: 35J15
Secondary Subjects: 35P05
Full-text: Open access
Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.pjm/1102737486
Zentralblatt MATH identifier: 0421.35063
Mathematical Reviews number (MathSciNet): MR618041

References

[1] S. Agmon, The Lp approach to the Dirichlet problem, Annali Scuola Norm. Sup.Pisa, 13 (1959),405-448.
Mathematical Reviews (MathSciNet): MR23:A2609
[2] W. Allegretto, On the equivalence of two types of oscillation for ellipticoperators, Pacific J. Math., 55 (1974),319-328.
Mathematical Reviews (MathSciNet): MR51:10827
Zentralblatt MATH: 0279.35036
[3] W. Allegretto, Spectral estimates and oscillation of singular differential operators, Proc. Amer. Math. Soc, (to appear).
Mathematical Reviews (MathSciNet): MR80d:35009
[4] W. Allegretto, A comparison theorem for nonlinear operators, Annali Scuola Norm. Sup. Pisa, 25 (1971), 41-46.
Mathematical Reviews (MathSciNet): MR45:7233
Zentralblatt MATH: 0225.35013
[5] A. Friedman, Partial Differential Equations, Holt, Rinehart and Winston, Inc.,New York, 1969.
Mathematical Reviews (MathSciNet): MR56:3433
[6] K. Kreith, Oscillation Theory, Lecture Notes in Mathematics, Vol. 324, Springer- Verlag, 1973.
Mathematical Reviews (MathSciNet): MR82d:34041
Zentralblatt MATH: 0462.34017
[7] W. Moss and J. Piepenbrink, Positive solutions of elliptic equations, Pacific J. Math., 75 (1978), 219-226.
Mathematical Reviews (MathSciNet): MR80b:35008
[8] J. Piepenbrink, Nonoscillatory elliptic equations, J. Differential Equations, 15 (1974), 541-550.
Mathematical Reviews (MathSciNet): MR49:7573
Zentralblatt MATH: 0289.35026
[9] J. Piepenbrink, A conjecture of Glazman, J. Differential Equations, 24 (1977), 173-177.
Mathematical Reviews (MathSciNet): MR56:12651
Zentralblatt MATH: 0353.35071
[10] M. Schechter, Spectra of Partial Differential Operators, North Holland,Amsterdam, 1971.
Mathematical Reviews (MathSciNet): MR56:6144
Zentralblatt MATH: 0225.35001
[11] G. Stampacchia, Equations Elliptiques du Second Ordre a CoefficientsDiscontinus, Les Presses de Universite de Montreal, 1966.
Mathematical Reviews (MathSciNet): MR40:4603
Zentralblatt MATH: 0151.15501
[12] C.A. Swanson, Comparison and Oscillation Theory of Linear DifferentialEqua- tions, Mathematics in Science and Engineering, Vol. 48, Academic Press, New York, 1968.
Zentralblatt MATH: 0191.09904

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