2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/224898A regular elliptic boundary-value problem over a bounded domain with a smooth boundary is studied. We prove that the operator of this problem is a Fredholm one in the two-sided refined scale of the functional Hilbert spaces and generates a complete collection of isomorphisms. Elements of this scale are the isotropic spaces of Hormander-Volevich-Paneah and some its modifications. A priori estimate for the solution is established and its regularity is investigated.In Russian Abstract in EnglishAnalysis of PDEs35J40; 46E35text