descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Feb 1971 English Publisher:American Mathematical Society (AMS)Journal:Proceedings of the American Mathematical Society, volume 27, pages 325-325 (issn: 0002-9939,

Authors: C. A. Swanson; W. Allegretto;

doi: 10.1090/s0002-9939-1971-0276592-4 , 10.2307/2036314

Oscillation criteria for elliptic systems

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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.

Keywords

Systems of elliptic equations, general, Variational methods for elliptic systems

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