@article{Bogdanskii_Potapenko_2016, title={Laplacian with respect to measure on a Riemannian manifold and Dirichlet problem. I}, volume={68}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/1889}, abstractNote={We propose an $L^2$ -version of the Laplacian with respect to measure on an infinite-dimensional Riemannian manifold. The Dirichlet problem for equations with proposed Laplacian is solved in the region of a Rimannian manifold from a certain class.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Bogdanskii, Yu. V. and Potapenko, A. Yu.}, year={2016}, month={Jul.}, pages={897-907} }