Geodesic
Minimax estimation and positive solutions of elliptic equations
Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 525-546

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The paper explores the link between the optimal estimates of the classical estimation theory and the positive solutions of elliptic differential equations first revealed in [1]–[2]. The results of [1]–[2] are extended in two directions: i) they involve the general non-Gaussian case, ii) they are pertaining to a larger class of risk functions. 
@article{TVP_1982_27_3_a9,
     author = {B. Ya. Levit},
     title = {Minimax estimation and positive solutions of elliptic equations},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {525--546},
     publisher = {mathdoc},
     volume = {27},
     number = {3},
     year = {1982},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a9/}
}
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B. Ya. Levit. Minimax estimation and positive solutions of elliptic equations. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 525-546. http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a9/