This work deals with the m th order elliptic equation with non-smooth coefficients in grand-
Sobolev space generated by the norm of the grand-Lebesgue space L q)(Ω), 1< q<+∞ …

In this paper an elliptic operator of the $ m $-th order $ L $ with continuous coefficients in the
$ n $-dimensional domain $\Omega\subset R^{n} $ in the non-standard Grand-Sobolev …

In this paper a second order elliptic equation with nonsmooth coefficients is considered in
grand-Sobolev classes W q) 2 Ω on a bounded n-dimensional domain Ω⊂ R n with a …

We consider a higher order elliptic equation with nonsmooth coefficients with respect to
rearrangement invariant spaces on the domain. Separable subspaces of these spaces are …

The analogs of Korovkin theorems in grand-Lebesgue spaces are proved. The subspace $
G^{p)}(-\pi;\pi) $ of grand Lebesgue space is defined using shift operator. It is shown that the …

Non-standard grand-Lebesgue and Morrey spaces are considered in this work, together
with grand-Sobolev and Morrey–Sobolev spaces generated by them. Dirichlet problems for …

In this work we consider the Sobolev spaces generated by the norm of the power weighted
grand Lebesgue spaces. It is considered $ m $-th order elliptic equation with nonsmooth …

This work is dedicated to Korovkin type theorems in Banach function spaces. The subspace
XS of the Banach function space X generated by the shift operator is considered and the …

This paper considers the method of Riemann boundary value problems of the theory of
analytic functions to study basis properties of perturbed systems of exponents in …

In this paper a Banach function space (bfs in short) X (Ω) on an-dimensional bounded
domain Ω with Lebesgue measure is considered. The Banach function space X (S) on the …