Existence and uniqueness of weak solutions of initial-boundary-value problems for second
order elliptic-parabolic equations are proved. These equations have the exponents of …

The purpose of this work is to prove the existence and uniqueness of a class of nonlinear
unilateral elliptic problem (P) in an arbitrary domain, managed by a low-order term and non …

We deal with the initial-boundary value problems with some restrictions at infinity for linear
and nonlinear anisotropic parabolic second-order equations in unbounded domains with …

The paper is concerned with the solvability of the Dirichlet problem for a certain class of
anisotropic elliptic second-order equations in divergence form with low-order terms and …

На каратеодориевы функции aα (x, s0, s), α= 0, 1,..., n, накладывается условие
совокупной монотонности по аргументам s0∈ R, s∈ Rn. Ограничения на их рост по s0 …

We consider a class of anisotropic elliptic differential equations of second order with
divergent form and variable exponents. The corresponding elliptic operators are pseudo …

A great many mathematical papers are devoted to boundary problems for elliptic equations
and their systems in unbounded domains (see, for instance,[1]—[7] and the literature cited …

The existence and the uniqueness of generalized solutions of a problem without initial
conditions are established for linear and nonlinear anisotropic elliptic-parabolic second …

We study a class of nonlinear elliptic problems with Dirichlet conditions in the framework of
the Sobolev anisotropic spaces with variable exponent, involving an anisotropic operator on …

Для некоторого класса анизотропных эллиптических уравнений второго порядка с
переменными показателями нелинейностей в произвольных неограниченных областях …