Hostname: page-component-586b7cd67f-dlnhk Total loading time: 0 Render date: 2024-11-24T12:31:46.596Z Has data issue: false hasContentIssue false
  • English
  • Français

Comparison Theorems for Linear Elliptic Equations

Published online by Cambridge University Press:  20 November 2018

V.B. Headley
V.B. Headley*
Affiliation:
Department of Mathematics Brock University St. Catharines, Ontario L2S 3A1
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

TWO comparison theorems, one of pointwise type and one of integral type, will be obtained for linear elliptic equations of order 2m on an exterior domain in Rn

Keywords

35B0534C10
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 36 , Issue 2 , 01 June 1993 , pp. 164 - 172
Copyright
Copyright © Canadian Mathematical Society 1993

References

1. Agmon, S., Lectures on Elliptic Boundary Value Problems, Van Nostrand, Princeton, 1965.Google Scholar
2. Butler, G. J. and Erbe, L. H., Integral comparison theorems and extremal points for linear differential equations, J. Differential Equations 47(1983), 214–226.Google Scholar
3. Headley, V. B., Sharp nonoscillation theorems for even-order elliptic equations, J. Math. Anal. Appl. 120(1986), 709–722.Google Scholar
4. Headley, V. B. , Nonoscillation theorems for nonselfadjoint even-order elliptic equations, Math. Nachr. 141(1989), 289–297.Google Scholar
5. Headley, V. B., Oscillation and nonoscillation theorems for linear elliptic systems, Proceedings of an International Conference on Differential Equations: Stability and Control, Marcel Dekker, New York, 1990,209–215.Google Scholar
6. Headley, V. B. and Swanson, C. A., Oscillation criteria for elliptic equations, Pacific J. Math. 27(1968), 501–506.Google Scholar
7. Levin, A. Ju., Non-oscillation of solutions of the equation x(n) +p1(t)x(n-1) + ··· +pn(t)x =0, Uspekhi Mat. Nauk (2) 24(1969), 43–96; Russian Math. Surveys (2) 24(1969), 43–99.Google Scholar
8. Mikhlin, S. G., The Problem of the Minimum of a Quadratic Functional, Holden-Day, San Francisco, 1965.Google Scholar
9. Polya, G., On the mean value theorem corresponding to a given linear homogenous differential equation, Trans. Amer. Math. Soc. 24(1924), 312–324.Google Scholar