Abstract
We establish the connection between the Dirichlet problem for equations with the Levy Laplacian in a countable dimensional real Hilbert space with the problem of minimizing a functional of a certain type.
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Literature cited
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 3, pp. 398–401, March, 1990.
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Sokolovskii, V.B. Infinite-dimensional equations with the Lévy Laplacian and some variational problems. Ukr Math J 42, 354–356 (1990). https://doi.org/10.1007/BF01057024
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DOI: https://doi.org/10.1007/BF01057024