Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Papers
(The median citation count of Proceedings of the Royal Society of Edinburgh Section A-Mathematics is 0. 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 2021-04-01 to 2025-04-01.)
ArticleCitations
Nonlocal anisotropic interactions of Coulomb type20
PRM volume 154 issue 2 Cover and Back matter12
PRM volume 154 issue 2 Cover and Front matter12
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold10
Robustness of nonuniform mean-square exponential dichotomies8
Existence of weak solutions to an anisotropic parabolic–parabolic chemotaxis system8
Remarks on countable subadditivity7
PRM volume 153 issue 3 Cover and Back matter7
Avoidance loci and tropicalizations of real bitangents to plane quartics7
PRM volume 154 issue 4 Cover and Back matter7
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds6
Exponential decay for the KdV equation on ℝ with new localized dampings6
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions6
Derived homotopy algebras6
Compact and weakly compact Lipschitz operators6
Local well-posedness and global analyticity for solutions of a generalized 0-equation6
PRM volume 151 issue 4 Cover and Back matter6
Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains5
On the fractional Lazer-McKenna conjecture with critical growth5
Index estimates of compact hypersurfaces in smooth metric measure spaces5
Invariant set generated by a nonreal number is everywhere dense5
Riemannian approximation in Carnot groups5
Nonlinear elasticity with vanishing nonlocal self-repulsion5
PRM volume 151 issue 3 Cover and Back matter5
On a critical time-harmonic Maxwell equation in nonlocal media5
On a class of difference operator and its applications to a family of analytic functions4
Flat model structures and Gorenstein objects in functor categories4
On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity4
The homotopy classification of four-dimensional toric orbifolds4
Weighted estimates for Bochner–Riesz operators on Lorentz spaces4
On finite groups with exactly one vanishing conjugacy class size4
On the global existence of solutions to chemotaxis system for two populations in dimension two4
The Fokker–Planck equation for the time-changed fractional Ornstein–Uhlenbeck stochastic process4
Multiscale linearization of nonautonomous systems4
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space4
Iterates of meromorphic functions on escaping Fatou components4
Lipschitz-free spaces and subsets of finite-dimensional spaces4
A new inner approach for differential subordinations4
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions4
Intersection configurations in free and free times free-abelian groups3
On the linearized Whitham–Broer–Kaup system on bounded domains3
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems3
Lorentz and Gale–Ryser theorems on general measure spaces3
PRM volume 152 issue 6 Cover and Front matter3
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle3
On the number of conjugacy classes of a primitive permutation group3
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations3
On a class of special Euler–Lagrange equations3
Qualitative properties of singular solutions to fractional elliptic equations3
PRM volume 154 issue 5 Cover and Front matter3
PRM volume 153 issue 6 Cover and Front matter3
On the dimension of planar self-affine sets with non-invertible maps3
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy3
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid3
Dynamics of projectable functions: towards an atlas of wandering domains for a family of Newton maps2
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations2
Coisotropic Ekeland–Hofer capacities2
Stability and exponential decay for magnetohydrodynamic equations2
Singularities of 3-parameter line congruences in2
Fixed point sets and the fundamental group II: Euler characteristics2
On the Γ-convergence of the Allen–Cahn functional with boundary conditions2
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system2
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus2
Brownian motion on the golden ratio Sierpinski gasket2
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$2
Isotypical components of the homology of ICIS and images of deformations of map germs2
The Daugavet and Delta-constants of points in Banach spaces2
Asymptotic profiles of a nonlocal dispersal SIS epidemic model with saturated incidence2
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres2
On the topological complexity and zero-divisor cup-length of real Grassmannians2
PRM volume 154 issue 6 Cover and Front matter2
Harnack inequality for the nonlocal equations with general growth2
On a class of self-similar sets which contain finitely many common points2
Various topological complexities of small covers and real Bott manifolds2
On two congruence conjectures of Z.-W. Sun involving Franel numbers2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system2
Maximal noncompactness of limiting Sobolev embeddings2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems2
Index estimates for closed minimal submanifolds of the sphere2
Finite presentability of twisted Brin–Thompson groups2
Stability of concordance embeddings2
One-sided estimates via function1
PRM volume 152 issue 3 Cover and Front matter1
Topological regularity of isoperimetric sets in PI spaces having a deformation property1
The mod-p homology of the classifying spaces of certain gauge groups1
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes1
The dual tree of a fold map germ from to1
From the Mayer–Vietoris spectral sequence to überhomology1
Coupling capacity in C*-algebras1
Existence and multiplicity of periodic solutions to differential equations with attractive singularities1
Tropical graph curves1
Reconstruction of topological graphs and their Hilbert bimodules1
On large solutions for fractional Hamilton–Jacobi equations1
Girth, magnitude homology and phase transition of diagonality1
Dual exponential polynomials and a problem of Ozawa1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds1
Decay at infinity for solutions to some fractional parabolic equations1
The ground states of quasilinear Hénon equation with double weighted critical exponents1
Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous groups1
Shape index, Brouwer degree and Poincaré–Hopf theorem1
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates1
The socle of subshift algebras, with applications to subshift conjugacy1
PRM volume 153 issue 4 Cover and Back matter1
Estimate, existence and nonexistence of positive solutions of Hardy–Hénon equations1
Numerical invariants on twisted noncommutative polyballs: curvature and multiplicity1
Large deviation principle for slow-fast rough differential equations via controlled rough paths1
The fundamental gap of a kind of sub-elliptic operator1
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant1
Harnack type estimates to non-linear elliptic systems in the plane1
Concentrating standing waves for Davey–Stewartson systems1
A note on the differentiability of discrete Palmer's linearization1
Compact reduction in Lipschitz-free spaces - RETRACTION1
Pointwise Assouad dimension for measures1
The homotopy decomposition of the suspension of a non-simply-connected five-manifold1
Discs area-minimizing in mean convex Riemanniann-manifolds1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities1
PRM volume 151 issue 5 Cover and Back matter1
Corrigendum to “Topological complexity of real Grassmannians”1
Parrondo's paradox for homoeomorphisms1
Integral representation of hydraulic permeability1
Moser's theorem with frequency-preserving1
Remarks on a formula of Ramanujan1
Catenaries and minimal surfaces of revolution in hyperbolic space1
Right-angled Artin groups, polyhedral products and the -generating function1
Wold decomposition on odometer semigroups1
Existence and analyticity of solutions of the Kuramoto–Sivashinsky equation with singular data1
The structure of finite groups whose elements outside a normal subgroup have prime power orders1
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation1
Every locally compact group is the outer automorphism group of a II1 factor1
The existence of unbounded solutions of asymmetric oscillations in the degenerate resonant case1
Equivariant stable sheaves and toric GIT1
Kolmogorov’s theorem for degenerate Hamiltonian systems with Hölder continuous parameters1
Transportation on spheres via an entropy formula1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition1
On a class of bivariate distributions built of q-ultraspherical polynomials1
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity1
A note on monotonicity and Bochner formulas in Carnot groups1
Simple dynamics in non-monotone Kolmogorov systems1
PRM volume 152 issue 6 Cover and Back matter1
On the L-polynomials of curves over finite fields1
PRM volume 153 issue 6 Cover and Back matter1
Karamata's theorem for regularized Cauchy transforms1
The space of commuting elements in a Lie group and maps between classifying spaces1
Spreading primitive groups of diagonal type do not exist1
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group1
Finely quasiconformal mappings1
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach1
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces1
PRM volume 152 issue 2 Cover and Front matter1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity1
Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition1
PRM volume 153 issue 2 Cover and Back matter1
The cohomology rings of real toric spaces and smooth real toric varieties1
Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor1
Topological volumes of fibrations: a note on open covers1
Structural stability of transonic shock flows with an external force1
Classification of simple smooth modules over the Heisenberg–Virasoro algebra1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model1
On stable commutator length of non-filling curves in surfaces1
PRM volume 153 issue 2 Cover and Front matter1
Generic properties of topological groups1
The rigidity of filtered colimits of n-cluster tilting subcategories1
PRM volume 151 issue 2 Cover and Back matter1
Variational characterizations of weighted Hardy spaces and weighted spaces0
Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions – CORRIGENDUM0
Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions — Corrigendum0
The effect of a perturbation on Brezis-Nirenberg’s problem0
Schatten class composition operators on the Hardy space0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay0
Equivariant covering type and the number of vertices in equivariant triangulations0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry0
Prescribing nearly constant curvatures on balls0
The localisation theorem for the K-theory of stable ∞-categories0
On the reconstruction of unknown driving forces from low-mode observations in the 2D Navier–Stokes equations0
Deformations of corank 1 frontals0
Spiraling solutions of nonlinear Schrödinger equations0
Concentration and multiplicity of solutions for fractional double phase problems0
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions0
The two membranes problem in a regular tree0
Existence of renormalized solutions to fully anisotropic and inhomogeneous elliptic problems0
PRM volume 152 issue 4 Cover and Back matter0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation0
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM0
Topologically free actions and ideals in twisted Banach algebra crossed products0
A sharp threshold for Trudinger–Moser type inequalities with logarithmic kernels in dimension N0
Morse theory of Bestvina–Brady type for posets and matchings0
Liouville property and quasi-isometries on negatively curved Riemannian surfaces0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations0
PRM volume 154 issue 1 Cover and Back matter0
Connected sums of codimension two locally flat submanifolds0
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy0
Liouville theorems for the sub-linear Lane–Emden equation on the half space0
The admissible KMS bundles on classifiable C-algebras0
On some nonlinear Schrödinger equations in ℝN0
Radial solvability for Pucci-Lane-Emden systems in annuli0
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation0
Sharp Sobolev regularity of restricted X-ray transforms0
Symmetrized and non-symmetrizedasymptotic mean value Laplacian in metric measure spaces0
Rigidity for the perimeter inequality under Schwarz symmetrization0
PRM volume 154 issue 4 Cover and Front matter0
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms0
Andrew Ranicki0
An alternative approach to solenoidal Lipschitz truncation0
Shadowing and hyperbolicity for linear delay difference equations0
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra0
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four0
Global centres in a class of quintic polynomial differential systems0
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension0
A weighted Trudinger–Moser inequalities and applications to some weighted Laplacian equation in with new exponential growth conditions0
On isometric embeddability of $S_q^m$ into $S_p^n$ as non-commutative quasi-Banach spaces0
Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians0
A revisit to “On BMO and Carleson measures on Riemannian manifolds”0
A characterization of alternating links in thickened surfaces – CORRIGENDUM0
On stability for generalized linear differential equations and applications to impulsive systems0
Second-kind symmetric periodic orbits for planar perturbed Kepler problems and applications0
Invariant measures and large deviation principles for stochastic Schrödinger delay lattice systems0
Subsymmetric exchanged braids and the Burau matrix0
PRM volume 153 issue 4 Cover and Front matter0
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 10
PRM volume 153 issue 3 Cover and Front matter0
Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential0
Additive energies of subsets of discrete cubes0
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions0
The roles of nonlinear diffusion, haptotaxis and ECM remodelling in determining the global solvability of a cancer invasion model0
PRM volume 151 issue 6 Cover and Back matter0
A remark on the well-posedness of the modified KdV equation in L20
PRM volume 154 issue 5 Cover and Back matter0
Long-time dynamics and semi-wave of a delayed nonlocal epidemic model with free boundaries0
A note on the Winterbottom shape0
Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation0
Poincaré complex diagonals and the Bass trace conjecture0
Equivariant parametrized topological complexity0
General kernel estimates of Schrödinger-type operators with unbounded diffusion terms0
Fractal dimension of potential singular points set in the Navier–Stokes equations under supercritical regularity0
Measure data elliptic problems with generalized Orlicz growth0
On classification of singular matrix difference equations of mixed order0
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case0
On generalized eigenvalue problems of fractional (p,q)-Laplace operator with two parameters0
On the oscillation of certain second-order linear differential equations0
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect0
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface0
Existence and nonexistence results for a class of Hamiltonian Choquard-type elliptic systems with lower critical growth on ℝ20
PRM volume 151 issue 4 Cover and Front matter0
Skew group categories, algebras associated to Cartan matrices and folding of root lattices0
Cyclicity of rigid centres on centre manifolds of three-dimensional systems0
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback0
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions0
A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II: justification as a shallow water approximation0
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