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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

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: 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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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