Nonoscillation criteria for elliptic equations in conical domains
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- by W. Allegretto PDF
- Proc. Amer. Math. Soc. 63 (1977), 245-250 Request permission
Abstract:
Nonoscillation criteria are established for a class of higher order elliptic equations defined in conical domains.References
- W. Allegretto, Nonoscillation theory of elliptic equations of order $2n$, Pacific J. Math. 64 (1976), no. 1, 1–16. MR 415044
- Avner Friedman, Partial differential equations, Holt, Rinehart and Winston, Inc., New York-Montreal, Que.-London, 1969. MR 0445088
- V. B. Headley and C. A. Swanson, Oscillation criteria for elliptic equations, Pacific J. Math. 27 (1968), 501–506. MR 236502 K. Kreith, Oscillation theory, Lecture Notes in Math., Vol. 324, Springer-Verlag, Berlin and New York, 1973.
- Ezzat S. Noussair, Oscillation theory of elliptic equations of order $2m$, J. Differential Equations 10 (1971), 100–111. MR 280845, DOI 10.1016/0022-0396(71)90099-4 E. Noussair and N. Yoshida, Nonoscillation criteria for elliptic equations of order 2m (submitted).
- C. A. Swanson, Comparison and oscillation theory of linear differential equations, Mathematics in Science and Engineering, Vol. 48, Academic Press, New York-London, 1968. MR 0463570
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 245-250
- MSC: Primary 35B05; Secondary 35J30
- DOI: https://doi.org/10.1090/S0002-9939-1977-0440174-7
- MathSciNet review: 0440174