Geodesic
On a~weak extremum principle for a~second-order elliptic system
Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 949-961

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A class of second-order elliptic systems is discussed, for which a notion of “stochastic” weak extremum principle is introduced, and some necessary and sufficient conditions for it to hold are proved. 
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     author = {L. I. Kamynin and B. N. Khimchenko},
     title = {On a~weak extremum principle for a~second-order elliptic system},
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L. I. Kamynin; B. N. Khimchenko. On a~weak extremum principle for a~second-order elliptic system. Izvestiya. Mathematics , Tome 59 (1995) no. 5, pp. 949-961. http://geodesic.mathdoc.fr/item/IM2_1995_59_5_a4/