We study the Dirichlet problem for a specified class of elliptic equations in a region of the Hilbert space consistent with a given Borel measure.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 6, pp. 733–739, June, 2014.
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Bogdanskii, Y.V., Sanzharevskii, Y.Y. The Dirichlet Problem with Laplacian with Respect to a Measure in the Hilbert Space. Ukr Math J 66, 818–826 (2014). https://doi.org/10.1007/s11253-014-0976-x
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DOI: https://doi.org/10.1007/s11253-014-0976-x