In this paper, the basis properties (completeness, minimality and basicity) of the system of
exponents are investigated in weighted Morrey spaces, where the weight function is defined …

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<+∞ …

Abstract for the perturbed system of exponentials exp (i (n− β sign n) t), for n∈ Z, where β is
a complex parameter, we find a necessary and sufficient condition on β under which this …

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 …

In this paper a perturbed system of exponents with a piecewise linear phase depending on
two real parameters is considered. The sufficient conditions for these parameters are found …

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 …

Basicity of the system of eigenfunctions of some\textbf {} discontinuous spectral problem for
a second order differential equation with spectral parameter in boundary condition for grand …

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 …