OOIR: Observatory of International Research

Papers

(The TQCC of St Petersburg Mathematical Journal is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-03-01 to 2024-03-01.)

Article	Citations
A borderline case of Calderón–Zygmund estimates for nonuniformly elliptic problems	37
Survey on gradient estimates for nonlinear elliptic equations in various function spaces	8
On the asymptotics of eigenvalues of a third-order differential operator	7
Searchlight asymptotics for high-frequency scattering by boundary inflection	6
Cantor uniqueness and multiplicity along subsequences	6
Clebsh–Gordan coefficients for the algebra ??₃ and hypergeometric functions	5
Short wave diffraction on a contour with a Hölder singularity of the curvature	5
On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions	5
Balayage of measures and subharmonic functions to a system of rays. II. Balayages of finite genus and growth regularity on a single ray	4
Threshold approximations for the resolvent of a polynomial nonnegative operator pencil	4
Oka principle on the maximal ideal space of $\boldsymbol {H^\infty }$	4
Overgroups of Levi subgroups I. The case of abelian unipotent radical	4
Szegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations	4
Groups normalized by the odd unitary group	4
Homogenization of Kirchhoff plates joined by rivets which are modeled by the Sobolev point conditions	3
Rubio de Francia extrapolation theorem and related topics in the theory of elliptic and parabolic equations. A survey	3
Metaharmonic functions: Mean flux theorem, its converse and related properties	3
Nonstandard Liouville tori and caustics in asymptotics in the form of Airy and Bessel functions for 2D standing coastal waves	3
Criteria for the absence and existence of bounded solutions at the threshold frequency in a junction of quantum waveguides	3
The set of zeros of the Riemann zeta function as the point spectrum of an operator	3
Homogenization of hyperbolic equations with periodic coefficients in ℝ^{?}: Sharpness of the results	3
Sharp estimates for mean square approximations of classes of periodic convolutions by spaces of shifts	2
Structure of the maximal ideal space of ?^{∞} on the countable disjoint union of open disks	2
Solutions in Lebesgue spaces to nonlinear elliptic equations with subnatural growth terms	2
Eigenvalue asymptotics for polynomially compact pseudodifferential operators	2

Homogenization of periodic parabolic systems in the $L_2(\mathbb {R}^d)$-norm with the corrector taken into account	2
Automorphisms of algebraic varieties and infinite transitivity	2
Homogenization of periodic Schrödinger-type equations, with lower order terms	2
Nonuniqueness of Leray–Hopf solutions for a dyadic model	2
$L_2$-theory for two viscous fluids of different types: Compressible and incompressible	2
Classes of convolutions with a singular family of kernels: Sharp constants for approximation by spaces of shifts	2
Extraction of harmonics from trigonometric polynomials by phase-amplitude operators	2
Lieb–Thirring inequalities on the sphere	2
Weighted Littlewood–Paley inequality for arbitrary rectangles in ℝ²	2
Overgroups of subsystem subgroups in exceptional groups: A 2?₁-proof	2
The regular free boundary in the thin obstacle problem for degenerate parabolic equations	2
Steady state non-Newtonian flow in a thin tube structure: equation on the graph	2
Almost minimizers for certain fractional variational problems	1
Schrödinger operator with decreasing potential in a cylinder	1
Projective free algebras of bounded holomorphic functions on infinitely connected domains	1
On the constants in abstract inverse theorems of approximation theory	1
Trace formulas for the one-dimensional Stark operator and integrals of motion for the cylindrical Korteweg–de Vries equation	1
Problems on the loss of heat: herd instinct versus individual feelings	1
Rigidity theorem for presheaves with Witt-transfers	1
Reflection groups and the pizza theorem	1
Classification of taut irreducible real linear representations of compact connected Lie groups	1
Global pointwise estimates of positive solutions to sublinear equations	1
Quaternionic Grassmannians and Borel classes in algebraic geometry	1
Functions of perturbed pairs of noncommutative dissipative operators	1
On Cayley representations of finite graphs over Abelian $p$-groups	1
Scattering of a surface wave in a polygonal domain with impedance boundary	1
Weighted Aleksandrov estimates: PDE and stochastic versions	1
Lagrange multipliers for evolution problems with constraints on the derivatives	1
An effective algorithm for deciding the solvability of a system of polynomial equations over ?-adic integers	1
Characterizing compact coincidence sets in the obstacle problem—a short proof	1
Jackson type inequalities for differentiable functions in weighted Orlicz spaces	1
Elliptic solitons and “freak waves”	1
Joint weighted universality of the Hurwitz zeta-functions	1
Generalized power central group identities in almost subnormal subgroups of $\operatorname {GL}_n(D)$	1
Distance difference functions on nonconvex boundaries of Riemannian manifolds	1
Maxwell operator in a cylinder with coefficients that do not depend on the cross-sectional variables	1
Index of a singular point of a vector field or of a 1-form on an orbifold	1
Cauchy problem for the nonlinear Hirota equation in the class of periodic infinite-zone functions	1
Growth theorems for metric spaces with applications to PDE	1
Overgroups of subsystem subgroups in exceptional groups: nonideal levels	1
Solvability of a critical semilinear problem with the spectral Neumann fractional Laplacian	1
A note on the centralizer of a subalgebra of the Steinberg algebra	1
Dihedral modules with ∞-simplicial faces and dihedral homology for involutive ?_{∞}-algebras over rings	1
Spectral asymptotics for a family of LCM matrices	1
A posteriori estimates of the deviation from exact solutions to variational problems under nonstandard coerciveness and growth conditions	1
Floquet problem and center manifold reduction for ordinary differential operators with periodic coefficients in Hilbert spaces	1
Asymptotics and estimates for the discrete spectrum of the Schrödinger operator on a discrete periodic graph	1
Radiation and scattering in electromagnetic waveguides near thresholds	1
Functions with small and large spectra as (non)extreme points in subspaces of ?^{∞}	1
Improved resolvent ?²-approximations in homogenization of fourth order operators	1

Inverse mean value property of solutions to the modified Helmholtz equation	1
Spatial graphs, tangles and plane trees	1
Orders that are étale-locally isomorphic	1
The $\boldsymbol {\mathrm {BMO}}\boldsymbol {\rightarrow }\boldsymbol {\mathrm {BLO}}$ action of the maximal operator on $\boldsymbol \alpha $-trees	1
Banach limits: extreme properties, invariance and the Fubini theorem	1