Geodesic

Differential equations and functional spaces

Sommaire

In memory of Sergei L'vovich Sobolev
p. 3-4
Variational properties of averaged equations for periodic media
p. 5-19
On Sobolev--Liouville and Lizorkin--Triebel spaces on a~domain
p. 20-34
Approximate conformal mapping of the exterior of a~lattice of ellipses onto the exterior of a~lattice of segments by the block method
p. 35-41
Asymptotic expansions of eigenvalues and eigenfunctions in problems on oscillations of a~medium with concentrated perturbations
p. 42-60
On the negative spectrum of an elliptic operator
p. 61-67
On imbedding theory for anisotropic classes of functions with power smoothness and a~metric of $L_p$ type
p. 68-84
Variational problems with a~different number of boundary conditions
p. 85-104
Hardy's inequality for higher order derivatives
p. 105-113
The elastic half-plane and the theory of generalized functions
p. 114-121
Classes of functions constructed on the basis of averages over spheres. (The case of spaces of Sobolev type)
p. 122-139
On nonlinear sentinels for distributed systems
p. 140-145
On the method of fibering a~solution in nonlinear boundary value problems
p. 146-163
Hypersingular integrals and differences of fractional order
p. 164-182
Some elasticity problems in unbounded domains and applications to junctions
p. 183-196
On the behavior of the partial sums, over hyperbolic crosses, of Fourier series of periodic functions of several variables
p. 197-206
Characterizations of $F^s_{pq}$ spaces via local means; the extension problem
p. 207-220
On the behaviour at infinity of a~solution of a~problem in hydrodynamics
p. 221-230
On the optimal constant for the trace inequality
p. 231-239