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Nonoscillation Criteria for Elliptic Equations

Published online by Cambridge University Press:  20 November 2018

C.A. Swanson
C.A. Swanson*
Affiliation:
University of British Columbia
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Sufficient conditions will be derived for the linear elliptic partial differential equation

(1)

to be nonoscillatory in an unbounded domain R in n-dimensional Euclidean space En. The boundary ∂R of R is supposed to have a piecewise continuous unit normal vector at each point. There is no essential loss of generality in assuming that R contains the origin. Otherwise no special assumptions are needed regarding the shape of R: it is not necessary for R to be quasiconical (as in [2]), quasicylindrical, or quasibounded [1].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 3 , June 1969 , pp. 275 - 280
Copyright
Copyright © Canadian Mathematical Society 1969

References

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