OOIR: Observatory of International Research

Papers

(The TQCC of Proceedings of the Royal Society of Edinburgh Section A-Mathematics is 2. 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 2022-05-01 to 2026-05-01.)

Article	Citations
PRM volume 154 issue 2 Cover and Front matter	19
On the global existence of solutions to chemotaxis system for two populations in dimension two	19
Brownian motion on the golden ratio Sierpinski gasket	16
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	16
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	12
PRM volume 154 issue 4 Cover and Back matter	11
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients	11
On global fractional Calderón–Zygmund regularity for the fractional Dirichlet problem on Lipschitz domains	9
Maximal noncompactness of limiting Sobolev embeddings	8
Fixed point sets and the fundamental group II: Euler characteristics	8
On the linearized Whitham–Broer–Kaup system on bounded domains	8
Existence and concentration of normalized solutions for logarithmic Schrödinger–Bopp–Podolsky type system	8
A note on the differentiability of discrete Palmer's linearization	7
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	7
The ground states of quasilinear Hénon equation with double weighted critical exponents	7
Solutions with prescribed mass for L²-supercritical NLS equations under Neumann boundary conditions	7
On mixed local–nonlocal problems with Hardy potential	6
On the L-polynomials of curves over finite fields	5
Axisymmetric stationary surfaces for the moment of inertia	5
Discrete heat equation with irregular thermal conductivity and tempered distributional data	5
Weighted Lipschitz shadowing and generalized weighted limit shadowing for infinite-dimensional systems	5
Structural stability of transonic shock flows with an external force	5
Remarks on a formula of Ramanujan	5
Commutativity properties of Quinn spectra	5
Principal bundle structure of the space of metric measure spaces	5

Blow-up for the wave equation with nonlinear source and boundary damping terms – CORRIGENDUM	5
Tropical graph curves	5
Finite-time blow-up in a repulsive chemotaxis-consumption system	5
PRM volume 153 issue 4 Cover and Back matter	5
Large Salem sets avoiding nonlinear configurations	4
The rigidity of filtered colimits of n-cluster tilting subcategories	4
Quantitative quasi-invariance of Gaussian measures below the energy level for the 1D generalized nonlinear Schrödinger equation and application to global well-posedness	4
Singular SPDEs on homogeneous lie groups	4
On the optimization of the first weighted eigenvalue	4
On the dimension theory of Okamoto’s function	4
Sharp estimates for Gowers norms on discrete cubes	4
Isometric dilations for representations of product systems	4
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data	4
Fractional interpolation inequality and radially symmetric ground states	4
Maximizing weighted sums of binomial coefficients using generalized continued fractions	4
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	4
Geometry of tropical extensions of hyperfields	4
On conformally flat minimal Legendrian submanifolds in the unit sphere	4
Fourier multipliers for Hardy spaces on graded Lie groups	4
Borderline gradient continuity for fractional heat type operators	4
Concentration behavior of normalized ground states for mass critical Kirchhoff equations in bounded domains	4
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential	4
Additive energies of subsets of discrete cubes	3
The localisation theorem for the K-theory of stable ∞-categories	3
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	3
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	3
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	3
On the oscillation of certain second-order linear differential equations	3
Wreath products and the non-coprime k ( GV ) problem	3
PRM volume 154 issue 5 Cover and Back matter	3
Multipeak solutions for fractional elliptic equations on conformal infinities	3
A remark on the well-posedness of the modified KdV equation in L²	3
Arens regularity of ideals of the group algebra of a compact Abelian group	3
Evans function, parity and nonautonomous bifurcations	3
Morse theory of Bestvina–Brady type for posets and matchings	3
Intersection Theorem for DG-modules over non-positive DG-rings	3
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy	3
Symmetrized and non-symmetrized asymptotic mean value Laplacian in metric measure spaces	3
On the energy dissipation phenomena for Navier–Stokes equations of compressible fluid flow	3
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝⁿ	3
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	3
Equivariant parametrized topological complexity	3
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	3
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	3
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
Regular solutions to the dissipative Aw–Rascle system	2
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	2

PRM volume 152 issue 5 Cover and Back matter	2
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	2
Global index of real polynomials	2
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	2
PRM volume 153 issue 5 Cover and Front matter	2
Propagation of minima for nonlocal operators	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
On the string topology of symmetric spaces of higher rank	2
Superlinear problems involving nonlinear superposition operators of mixed fractional order	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Multiscale linearization of nonautonomous systems	2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$	2
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	2
PRM volume 152 issue 6 Cover and Back matter	2
Double EPW sextics associated with Gushel–Mukai surfaces	2
Factorization structures, cones, and polytopes	2
Threshold dynamics of a time-periodic SIS model with anomalous diffusion in heterogeneous environments	2
Order continuity of Arens extensions of regular multilinear operators	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	2
Fence of saddle solutions of the Allen–Cahn equation in the plane	2
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	2
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	2
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	2
Regularity of quasigeodesics characterizes hyperbolicity	2
On Lebesgue points of entropy solutions to the eikonal equation	2
Singularities of 3-parameter line congruences in	2
Surfaces of prescribed linear Weingarten curvature in	2
The monostable cooperative system with nonlocal diffusion and free boundaries	2
On a class of special Euler–Lagrange equations	2
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	2
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source	2
PRM volume 152 issue 6 Cover and Front matter	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
Involutivity of distributions at points of superdense tangency with respect to normal currents	2
The fundamental gap of a kind of sub-elliptic operator	2
Delta-invariants of complete intersection log del Pezzo surfaces	2
Equivariant and invariant parametrized topological complexity	2
Concavity of spacetimes	2
PRM volume 154 issue 3 Cover and Back matter	2
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Orbital stability of solitary wave solutions of the generalized Benjamin equation	2
Nonrigidity of flat ribbons	2
PRM volume 153 issue 6 Cover and Back matter	2
PRM volume 153 issue 5 Cover and Back matter	2
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	2
Flat model structures and Gorenstein objects in functor categories	2
Quantitative stability in fractional Hardy–Sobolev inequalities: the role of Euler–Lagrange equations	2
Weak weight-semi-greedy Markushevich bases	2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	2
Higher topological complexity of Seifert fibred manifolds	2
Avoidance loci and tropicalizations of real bitangents to plane quartics	2
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM	2