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    Harnack's Inequality for Cooperative Weakly Coupled Elliptic Systems

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    TR_97-69.pdf (249.5Kb)
    No. of downloads: 529

    Date
    1997
    Author
    Arapostathis, Aristotle
    Ghosh, Mrinal K.
    Marcus, Steven I.
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    Abstract
    We consider cooperative, uniformly elliptic systems, with bounded coefficients and coupling in the zeroth-order terms. We establish two analogues of Harnack's inequality for this class of systems. A weak version is obtained under fairly general conditions, while imposing an irreducibility condition on the coupling coefficients we obtain a stronger version of the inequality. This irreducibility condition is also necessary for the existience of a Harnack constant for this class of systems. A Harnack inequality is also obtained for a class of superharmonic functions.
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    http://hdl.handle.net/1903/5881
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    • Institute for Systems Research Technical Reports

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    DRUM is brought to you by the University of Maryland Libraries
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