Geodesic
Representation of completely $L$-superharmonic functions
Izvestiya. Mathematics , Tome 9 (1975) no. 6, pp. 1279-1296

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An infinitely differentiable function $u(x)$ is said to be completely $L$-superharmonic if it satisfies the condition $(-1)^nL^nu(x)\geqslant0$, $n=0,1,2,\dots$, where $L$ is a second-order elliptic operator and belongs to a bounded domain with a sufficiently smooth boundary. An integral representation is given in this paper for such functions, and a study of their analytic nature is carried out. Bibliography: 17 titles. 
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     author = {M. V. Novitskii},
     title = {Representation of completely $L$-superharmonic functions},
     journal = {Izvestiya. Mathematics },
     pages = {1279--1296},
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     volume = {9},
     number = {6},
     year = {1975},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a6/}
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M. V. Novitskii. Representation of completely $L$-superharmonic functions. Izvestiya. Mathematics , Tome 9 (1975) no. 6, pp. 1279-1296. http://geodesic.mathdoc.fr/item/IM2_1975_9_6_a6/