@article{Statkevych_2012, title={Investigation of solutions of boundary-value problems with essentially infinite-dimensional elliptic operator}, volume={64}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2569}, abstractNote={We consider Dirichlet problems for the Poisson equation and linear and nonlinear equations with essentially infinite-dimensional elliptic operator (of the Laplace -Levy type). The continuous dependence of solutions on boundary values and sufficient conditions for increasing the smoothness of solutions are investigated.}, number={2}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Statkevych, V. M.}, year={2012}, month={Feb.}, pages={229-236} }