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Laplacian with respect to the measure on a Riemannian manifold and the Dirichlet problem. II

We propose the $L^2$ -version of Laplacian with respect to measure on an (infinite-dimensional) Riemannian manifold. The Dirichlet problem for equations with proposed Laplacian is solved in a part of the Rimannian manifold of a certain class.

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Bibliographic Details
Date:	2016
Main Authors:	Bogdanskii, Yu. V., Potapenko, A. Yu., Богданский, Ю. В., Потапенко, А. Ю.
Format:	Article
Language:	Russian
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1932
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal

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