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The Dirichlet Problem with Laplacian with Respect to a Measure in the Hilbert Space

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Ukrainian Mathematical Journal Aims and scope

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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References

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  2. Yu. V. Bogdanskii, “Banach manifolds with bounded structure and the Gauss–Ostrogradskii formula,” Ukr. Mat. Zh., 64, No. 10, 1299–1313 (2012); English translation: Ukr. Math. J., 64, No. 10, 1475–1494 (2013).

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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

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