Geodesic

Investigations in the theory of differentiable functions of many variables and its applications. Part V

Multiplicative estimates for integral norms of differentiable functions of several variables
p. 3-15
Estimates for the moduli of continuity of abstract functions defined in a domain
p. 16-24
A constructive characterization of classes of functions with a dominating mixed derivative
p. 25-32
Sobolev's integral representation and Taylor's formula
p. 33-38
The density of infinitely differentiable functions in Sobolev spaces for an arbitrary open set
p. 39-50
The approximation of functions in the space $W_p^r(\Omega )$ by compactly supported functions for an arbitrary open set~$\Omega $
p. 51-63
On the search for the maximum of a function and on the approximate global solution of a system of nonlinear equations
p. 64-80
Theorems on the extension of functions from the spaces $S_p^rW$, $S^r_{p,\theta}B$ across the boundary of the domain $\Omega $
p. 81-93
The comparison of differential operators and differential operators of constant strength
p. 94-118
A method of fictitious domains for the second and third boundary value problems
p. 119-127
Some weighted imbedding theorems in a domain with a nonsmooth boundary
p. 128-146
Certain inequalities for fractional seminorms
p. 147-157
Properties of functions in the spaces $\Lambda ^r_{p,\theta }$
p. 158-181
The behavior at infinity of functions with differential-difference properties prescribed in $L_{p}$
p. 182-198
Imbedding of classes of functions with a dominating mixed modulus of smoothness
p. 199-210
The structural and constructive characterization of certain classes of functions
p. 211-231
Properties of the solution of a certain class of quasilinear second order elliptic equations in divergence form
p. 232-242