Oscillation criteria for elliptic systems

Authors:
W. Allegretto and C. A. Swanson

Journal:
Proc. Amer. Math. Soc. **27** (1971), 325-330

MSC:
Primary 35.11

MathSciNet review:
0276592

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Abstract | References | Similar Articles | Additional Information

Abstract: Oscillation criteria are established for quasilinear elliptic partial differential systems of second order in unbounded domains of Euclidean space. The main departures from earlier investigations are: (1) systems of partial differential equations are considered; (2) the equations are nonlinear; (3) the matrices involved are not required to be positive definite; and (4) a direct method of the Calculus of Variations is used rather than the earlier majorization method.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1971-0276592-4

Keywords:
Quasilinear elliptic system,
oscillation criterion,
prepared matrix

Article copyright:
© Copyright 1971
American Mathematical Society