@article{Anop_Murach_2014, title={Regular Elliptic Boundary-Value Problems in the Extended Sobolev Scale}, volume={66}, url={https://umj.imath.kiev.ua/index.php/umj/article/view/2185}, abstractNote={We investigate an arbitrary regular elliptic boundary-value problem given in a bounded Euclidean <em class="a-plus-plus">C</em> <sup class="a-plus-plus">∞</sup>- domain. It is shown that the operator of the problem is bounded and Fredholm in appropriate pairs of Hörmander inner-product spaces. They are parametrized with the help of an arbitrary radial function RO-varying at ∞ and form the extended Sobolev scale. We establish <em class="a-plus-plus">a priori</em> estimates for the solutions of the problem and study their local regularity on this scale. New sufficient conditions for the generalized partial derivatives of the solutions to be continuous are obtained.}, number={7}, journal={Ukrains’kyi Matematychnyi Zhurnal}, author={Anop, A. V. and Murach, A. A.}, year={2014}, month={Jul.}, pages={867–883} }