Geodesic

Sommaire du Fascicule no. 1

A new valuation on polyhedral cones
p. 1-11
Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph
p. 12-39
Classification of taut irreducible real linear representations of compact connected Lie groups
p. 40-50
A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions
p. 51-77
Embeddings of Orlicz-Lorentz spaces into $ L_1$
p. 78-93
On Cayley representations of finite graphs over Abelian $ p$-groups
p. 94-120
$ L_2$-theory for two viscous fluids of different types: Compressible and incompressible
p. 121-186
Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables
p. 187-207
Balayage of measures and subharmonic functions to a system of rays. II. Balayages of finite genus and growth regularity on a single ray
p. 208-243
Cobordism-framed correspondences and the Milnor $ K$-theory
p. 244-264

Sommaire du Fascicule no. 2

On the invariance of Welschinger invariants
p. 1-20
Extraction of harmonics from trigonometric polynomials by phase-amplitude operators
p. 21-44
Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts
p. 45-84
Cantor uniqueness and multiplicity along subsequences
p. 85-106
Real algebraic curves of bidegree $(5,5)$ on the quadric ellipsoid
p. 107-142
Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions
p. 143-200
Sharp estimates for mean square approximations of classes of periodic convolutions by spaces of shifts
p. 201-228
Nonuniqueness of Leray-Hopf solutions for a dyadic model
p. 229-253

Sommaire du Fascicule no. 3

Preface
Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A~survey
p. 5-38
Almost everywhere regularity for the free boundary of the $p$-harmonic obstacle problem $p>2$
p. 39-64
Lagrange multipliers for evolution problems with constraints on the derivatives
p. 65-83
The regular free boundary in the thin obstacle problem for degenerate parabolic equations
p. 84-126
Existence theory for the EED inpainting problem
p. 127-148
The leading edge of a free boundary interacting with a line of fast diffusion
p. 149-179
On a class of sharp multiplicative Hardy inequalities
p. 180-190
Floquet problem and center manifold reduction for ordinary differential operators with periodic coefficients in Hilbert spaces
p. 191-218
On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions
p. 219-237
A note on weak solutions to the Navier--Stokes equations that are locally in $L_\infty(L^{3,\infty})$
p. 238-253
$L_p$-estimates of solution of the free boundary problem for viscous compressible and incompressible fluids in the linear approximation
p. 254-291

Sommaire du Fascicule no. 4

Homogenization of the hyperbolic equations with periodic coefficients in ${\mathbb R}^d$: Sharpness of the results
p. 3-136
Characterizing compact coincidence sets in the obstacle problem~--- a short proof
p. 137-145
Remarks on the convexity of free boundaries (Scalar and system cases)
p. 146-165
Almost minimizers for certain fractional variational problems
p. 166-199
Limit model for the Vlasov--Maxwell system with strong magnetic fields via gyroaveraging
p. 200-216
On decay of viscosity solutions to Hamilton--Jacobi equations with almost periodic initial data
p. 217-233
Radiation and scattering in electromagnetic waveguides near thresholds
p. 234-270
Growth theorems for metric spaces with applications to PDE
p. 271-284

Sommaire du Fascicule no. 5

On some degeneracy loci in the moduli space of pointed odd spin curves
p. 1-36
Singular matrix factorization problem with quadratically oscillating off-diagonal elements. Quasiclassical asymptotics of solutions with a diagonal element vanishing at the stationary point
p. 37-61
On $(2,3)$-generation of matrix groups over the ring of integers,~II
p. 62-85
A cell structure of the space of branched coverings of the two-dimensional sphere
p. 86-113
Volume ratio for the Cartesian product of convex bodies
p. 114-129
On the prime spectrum of an automorphism group of an $\mathrm{AT4}(p,p+2,r)$-graph
p. 130-144
Inner factors of analytic functions of variable smoothness in the closed disk
p. 145-181

Sommaire du Fascicule no. 6

Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides
p. 1-23
Weighted Littlewood--Paley inequality for arbitrary rectangles in~$\mathbb{R}^2$
p. 24-57
Structure of the maximal ideal space of $H^\infty$ on the countable disjoint union of open disks
p. 58-71
Overgroups of subsystem subgroups in exceptional groups: $2A_1$-proof
p. 72-100
Szeg\H{o}-type limit theorems for ``multiplicative Toeplitz'' operators and non-F{\o}lner approximations
p. 101-123
On the separability of cyclotomic schemes over finite fields
p. 124-146
Parametrized symmetric groups and the second homology of a group
p. 147-163