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Oscillation of Elliptic Equations in General Domains

Published online by Cambridge University Press:  20 November 2018

E. S. Noussair
E. S. Noussair*
Affiliation:
The University of New South Wales, Kensington, N.S.W., Australia
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Oscillation criteria will be obtained for the linear elliptic partial differential equation

in an unbounded domain G of general type in n-dimensional Euclidean space En. The differential operator D is defined as usual by

where each α (i), i = 1, … , n, is a non-negative integer.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 6 , 01 December 1975 , pp. 1239 - 1245
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Courant, R. and Hilbert, D., Methods of mathematical physics I (Wiley, New York, 1953).Google Scholar
2. Dunninger, D. R., A Picone integral identity for a class of fourth order elliptic differential inequalities, Atti Accad. Naz. Lincie Rend. Cl. Sci. Fis. Mat. Natur. 50 (1971), 630–641.Google Scholar
3. Kreith, Kurt and Travis, Curtis C., Oscillation criteria for self-adjoint elliptic equations Pacific J. Math. 41 (1972), 743–753.Google Scholar
4. Mikhlin, S. G., The problem of the minimum of a quadratic function (Holden-Day, San Francisco, 1965).Google Scholar
5. Noussair, E. S., Oscillation theory of elliptic equations of order 2m, J. Differential Equations 10 (1971), 100–111.Google Scholar
6. Swanson, C. A., Strong oscillation of elliptic equations in general domains, Can. Math. Bull. 16 (1973), 105–110.Google Scholar