This article investigates some modification of the Navier–Stokes equations of type as the
modification that was suggested by Lions (Quelques Methodes de Resolution des …

We study the Dirichlet problem for the degenerate parabolic equation of the Kirchhoff
type\[u_ {t}-a\left (\u\_ {L^{p}(\Omega)}^{p}\right)\sum\limits_ {i= 1}^{n} D_ {i}\left (\left\vert …

In this article, we study the properties of a class of functional spaces which arise from the
investigation of nonlinear differential equations. We establish some integral inequalities then …

In this article we study the mixed problem for the Prandtl-von Mises type equation. Here we
proved the existence theorem and investigate the behavior of solutions of the posed …

In this paper, we study the Dirichlet problem for the implicit degen-erate nonlinear elliptic
equation with variable exponent in a bounded domain. We obtain sufficient conditions for …

We study the Dirichlet problem for the nonlocal parabolic equation of the Kirchhoff type\[u_
{t}-a\left (\| u\| _ {L^{p}(\Omega)}^{p}\right)\sum\limits_ {i= 1}^{n} D_ {i}\left (\left\vert …

The mixed problem for the implicit degenerating nonlinear parabolic equation is considered,
and the solvability and behavior of solutions of this problem are studied. Furthermore, some …

The basic results and methods of the theory of high order nonlinear parabolic equations are
described. In the first chapter boundary problems for quasilinear parabolic equations having …

In this paper, we study the solvability of a Cauchy-Dirichlet problem for nonlinear parabolic
equation with non standard growths and nonlocal terms. We show the existence of weak …

In this work the sufficient conditions are obtained on weight functions at which the imbedding
of some classes of weight anisotropic pseudonormed spaces in the weight Lebesgue …