Geodesic
On the analogue of Wintner's theorem for a controlled elliptic equation
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 228-235

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For a homogeneous Dirichlet problem associated with a controlled semilinear partial differential elliptic equation of the second order, referred as a stationary diffusion–reaction equation, we state analogue of the classical Wintner's theorem concerning the solvability of the Cauchy problem for an ordinary differential equation.
Keywords: controlled semilinear elliptic equation, total preservation of solvability. 
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     title = {On the analogue of {Wintner's} theorem for a controlled elliptic equation},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
     pages = {228--235},
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     volume = {46},
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A. V. Chernov. On the analogue of Wintner's theorem for a controlled elliptic equation. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 46 (2015) no. 2, pp. 228-235. http://geodesic.mathdoc.fr/item/IIMI_2015_46_2_a27/