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 2021-03-01 to 2025-03-01.)
ArticleCitations
The effects of diffusion on the principal eigenvalue for age-structured models with random diffusion20
Nonlocal anisotropic interactions of Coulomb type12
PRM volume 154 issue 2 Cover and Front matter8
PRM volume 154 issue 2 Cover and Back matter8
Robustness of nonuniform mean-square exponential dichotomies7
Existence of weak solutions to an anisotropic parabolic–parabolic chemotaxis system7
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold7
Avoidance loci and tropicalizations of real bitangents to plane quartics6
Fixed point sets and the fundamental group II: Euler characteristics6
PRM volume 154 issue 4 Cover and Back matter6
Remarks on countable subadditivity6
PRM volume 153 issue 3 Cover and Back matter6
Local well-posedness and global analyticity for solutions of a generalized 0-equation5
Derived homotopy algebras5
Exponential decay for the KdV equation on ℝ with new localized dampings5
Compact and weakly compact Lipschitz operators5
PRM volume 151 issue 4 Cover and Back matter5
PRM volume 151 issue 3 Cover and Back matter5
Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility5
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds5
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations5
Stability of concordance embeddings5
Invariant set generated by a nonreal number is everywhere dense4
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system4
Lipschitz-free spaces and subsets of finite-dimensional spaces4
Iterates of meromorphic functions on escaping Fatou components4
On the fractional Lazer-McKenna conjecture with critical growth4
On a critical time-harmonic Maxwell equation in nonlocal media4
Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains4
Nonlinear elasticity with vanishing nonlocal self-repulsion4
Riemannian approximation in Carnot groups4
Index estimates of compact hypersurfaces in smooth metric measure spaces4
On finite groups with exactly one vanishing conjugacy class size4
The Fokker–Planck equation for the time-changed fractional Ornstein–Uhlenbeck stochastic process3
On a class of difference operator and its applications to a family of analytic functions3
A new inner approach for differential subordinations3
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions3
Intersection configurations in free and free times free-abelian groups3
Flat model structures and Gorenstein objects in functor categories3
On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity3
The homotopy classification of four-dimensional toric orbifolds3
Weighted estimates for Bochner–Riesz operators on Lorentz spaces3
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle3
On the global existence of solutions to chemotaxis system for two populations in dimension two3
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space3
PRM volume 152 issue 6 Cover and Front matter3
Qualitative properties of singular solutions to fractional elliptic equations3
Multiscale linearization of nonautonomous systems3
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy2
Lorentz and Gale–Ryser theorems on general measure spaces2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations2
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid2
Stability and exponential decay for magnetohydrodynamic equations2
On a class of special Euler–Lagrange equations2
Dynamics of projectable functions: towards an atlas of wandering domains for a family of Newton maps2
Brownian motion on the golden ratio Sierpinski gasket2
Asymptotic profiles of a nonlocal dispersal SIS epidemic model with saturated incidence2
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$2
On the dimension of planar self-affine sets with non-invertible maps2
On the number of conjugacy classes of a primitive permutation group2
On the linearized Whitham–Broer–Kaup system on bounded domains2
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions2
Finite presentability of twisted Brin–Thompson groups2
On a class of self-similar sets which contain finitely many common points2
Maximal noncompactness of limiting Sobolev embeddings2
Singularities of 3-parameter line congruences in2
Various topological complexities of small covers and real Bott manifolds2
Isotypical components of the homology of ICIS and images of deformations of map germs2
PRM volume 153 issue 6 Cover and Front matter2
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems2
PRM volume 154 issue 5 Cover and Front matter2
On two congruence conjectures of Z.-W. Sun involving Franel numbers2
Coisotropic Ekeland–Hofer capacities2
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus2
The existence of unbounded solutions of asymmetric oscillations in the degenerate resonant case1
Harnack inequality for the nonlocal equations with general growth1
Integral representation of hydraulic permeability1
Parrondo's paradox for homoeomorphisms1
On the L-polynomials of curves over finite fields1
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition1
Finely quasiconformal mappings1
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems1
Topological regularity of isoperimetric sets in PI spaces having a deformation property1
PRM volume 153 issue 4 Cover and Back matter1
Moser's theorem with frequency-preserving1
Jump phenomena of the n-th eigenvalue of discrete Sturm–Liouville problems with application to the continuous case1
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres1
Existence results for a nonlinear nonautonomous transmission problem via domain perturbation1
On the Γ-convergence of the Allen–Cahn functional with boundary conditions1
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach1
Coupling capacity in C*-algebras1
Wold decomposition on odometer semigroups1
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces1
PRM volume 153 issue 6 Cover and Back matter1
The cohomology rings of real toric spaces and smooth real toric varieties1
The homotopy decomposition of the suspension of a non-simply-connected five-manifold1
A note on the differentiability of discrete Palmer's linearization1
Generic properties of topological groups1
PRM volume 152 issue 2 Cover and Front matter1
A note on monotonicity and Bochner formulas in Carnot groups1
The dual tree of a fold map germ from to1
Existence and multiplicity of periodic solutions to differential equations with attractive singularities1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model1
Remarks on a formula of Ramanujan1
Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition1
Classification of simple smooth modules over the Heisenberg–Virasoro algebra1
Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor1
The space of commuting elements in a Lie group and maps between classifying spaces1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds1
Index estimates for closed minimal submanifolds of the sphere1
Right-angled Artin groups, polyhedral products and the -generating function1
Reconstruction of topological graphs and their Hilbert bimodules1
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system1
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity1
On large solutions for fractional Hamilton–Jacobi equations1
PRM volume 153 issue 5 Cover and Front matter1
On the topological complexity and zero-divisor cup-length of real Grassmannians1
Karamata's theorem for regularized Cauchy transforms1
The mod-p homology of the classifying spaces of certain gauge groups1
The fundamental gap of a kind of sub-elliptic operator1
Dual exponential polynomials and a problem of Ozawa1
Numerical invariants on twisted noncommutative polyballs: curvature and multiplicity1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities1
Discs area-minimizing in mean convex Riemanniann-manifolds1
The socle of subshift algebras, with applications to subshift conjugacy1
Catenaries and minimal surfaces of revolution in hyperbolic space1
Tropical graph curves1
On a class of bivariate distributions built of q-ultraspherical polynomials1
Girth, magnitude homology and phase transition of diagonality1
The ground states of quasilinear Hénon equation with double weighted critical exponents1
Estimate, existence and nonexistence of positive solutions of Hardy–Hénon equations1
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates1
Spreading primitive groups of diagonal type do not exist1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity1
Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous groups1
Shape index, Brouwer degree and Poincaré–Hopf theorem1
PRM volume 151 issue 2 Cover and Back matter1
On stable commutator length of non-filling curves in surfaces1
Harnack type estimates to non-linear elliptic systems in the plane1
Decay at infinity for solutions to some fractional parabolic equations1
The structure of finite groups whose elements outside a normal subgroup have prime power orders1
The Daugavet and Delta-constants of points in Banach spaces1
BP-cohomology of projective Stiefel manifolds1
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula1
Concentrating standing waves for Davey–Stewartson systems1
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes1
Large deviation principle for slow-fast rough differential equations via controlled rough paths1
Pointwise Assouad dimension for measures1
Structural stability of transonic shock flows with an external force1
PRM volume 151 issue 5 Cover and Back matter1
Kolmogorov’s theorem for degenerate Hamiltonian systems with Hölder continuous parameters1
From the Mayer–Vietoris spectral sequence to überhomology1
PRM volume 152 issue 3 Cover and Front matter1
Existence and analyticity of solutions of the Kuramoto–Sivashinsky equation with singular data1
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group1
PRM volume 152 issue 6 Cover and Back matter1
Topological volumes of fibrations: a note on open covers1
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant1
Corrigendum to “Topological complexity of real Grassmannians”1
The effect of a perturbation on Brezis-Nirenberg’s problem0
Concentration and multiplicity of solutions for fractional double phase problems0
Fractal dimension of potential singular points set in the Navier–Stokes equations under supercritical regularity0
Shadowing and hyperbolicity for linear delay difference equations0
Morse theory of Bestvina–Brady type for posets and matchings0
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case0
On the reconstruction of unknown driving forces from low-mode observations in the 2D Navier–Stokes equations0
Well-posedness of quasilinear parabolic equations in time-weighted spaces0
Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians0
The two membranes problem in a regular tree0
Liouville property and quasi-isometries on negatively curved Riemannian surfaces0
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface0
Spiraling solutions of nonlinear Schrödinger equations0
PRM volume 154 issue 1 Cover and Back matter0
Second-kind symmetric periodic orbits for planar perturbed Kepler problems and applications0
PRM volume 153 issue 4 Cover and Front matter0
Recollements, comma categories and morphic enhancements0
Additive energies of subsets of discrete cubes0
Measure data elliptic problems with generalized Orlicz growth0
PRM volume 154 issue 4 Cover and Front matter0
Variational characterizations of weighted Hardy spaces and weighted spaces0
A revisit to “On BMO and Carleson measures on Riemannian manifolds”0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay0
PRM volume 154 issue 5 Cover and Back matter0
Symmetrized and non-symmetrizedasymptotic mean value Laplacian in metric measure spaces0
A remark on the well-posedness of the modified KdV equation in L20
Finite domination and Novikov homology over strongly -graded rings0
PRM volume 153 issue 1 Cover and Back matter0
Prescribing nearly constant curvatures on balls0
General kernel estimates of Schrödinger-type operators with unbounded diffusion terms0
Sharp Sobolev regularity of restricted X-ray transforms0
Skew group categories, algebras associated to Cartan matrices and folding of root lattices0
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions0
Equivariant parametrized topological complexity0
Asymptotic profiles for positive solutions of diffusive logistic equations0
PRM volume 152 issue 4 Cover and Back matter0
Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions – CORRIGENDUM0
Regular matrices of unbounded linear operators0
On stability for generalized linear differential equations and applications to impulsive systems0
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions0
Subsymmetric exchanged braids and the Burau matrix0
A sharp threshold for Trudinger–Moser type inequalities with logarithmic kernels in dimension N0
PRM volume 151 issue 6 Cover and Back matter0
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect0
A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II: justification as a shallow water approximation0
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback0
Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation0
On some nonlinear Schrödinger equations in ℝN0
PRM volume 153 issue 3 Cover and Front matter0
Deformations of corank 1 frontals0
Radial solvability for Pucci-Lane-Emden systems in annuli0
A weighted Trudinger–Moser inequalities and applications to some weighted Laplacian equation in with new exponential growth conditions0
An alternative approach to solenoidal Lipschitz truncation0
The admissible KMS bundles on classifiable C-algebras0
On the existence of a nodal solution for p-Laplacian equations depending on the gradient0
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 10
Equivariant covering type and the number of vertices in equivariant triangulations0
Boundary layer of Hsieh's equation with conservative nonlinearity0
A note on the Winterbottom shape0
Minimal isometric dilations and operator models for the polydisc0
Divergence of mock Fourier series for spectral measures0
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions0
Topologically free actions and ideals in twisted Banach algebra crossed products0
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension0
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy0
Gabber rigidity in hermitian K-theory0
PRM volume 151 issue 2 Cover and Front matter0
Vanishing of Nil-terms and negative K-theory for additi ve categories0
PRM volume 151 issue 4 Cover and Front matter0
Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions — Corrigendum0
Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential0
Cyclicity of rigid centres on centre manifolds of three-dimensional systems0
Schatten class composition operators on the Hardy space0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations0
Long-time dynamics and semi-wave of a delayed nonlocal epidemic model with free boundaries0
Liouville theorems for the sub-linear Lane–Emden equation on the half space0
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry0
The roles of nonlinear diffusion, haptotaxis and ECM remodelling in determining the global solvability of a cancer invasion model0
Connected sums of codimension two locally flat submanifolds0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation0
The localisation theorem for the K-theory of stable ∞-categories0
Rigidity for the perimeter inequality under Schwarz symmetrization0
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms0
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation0
On complete submanifolds with parallel normalized mean curvature in product spaces0
Poincaré complex diagonals and the Bass trace conjecture0
On generalized eigenvalue problems of fractional (p,q)-Laplace operator with two parameters0
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis0
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