Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Papers
(The TQCC of Proceedings of the Royal Society of Edinburgh Section A-Mathematics 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 2021-09-01 to 2025-09-01.)
ArticleCitations
Maximal noncompactness of limiting Sobolev embeddings19
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems16
On the global existence of solutions to chemotaxis system for two populations in dimension two12
PRM volume 154 issue 2 Cover and Front matter10
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold10
Brownian motion on the golden ratio Sierpinski gasket10
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy9
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$9
PRM volume 154 issue 4 Cover and Back matter9
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations8
Weighted estimates for Bochner–Riesz operators on Lorentz spaces8
On global fractional Calderón–Zygmund regularity for the fractional Dirichlet problem on Lipschitz domains8
Fixed point sets and the fundamental group II: Euler characteristics8
Tropical graph curves7
On mixed local–nonlocal problems with Hardy potential7
On the linearized Whitham–Broer–Kaup system on bounded domains7
PRM volume 152 issue 2 Cover and Front matter7
Remarks on a formula of Ramanujan6
On the L-polynomials of curves over finite fields6
Structural stability of transonic shock flows with an external force6
A note on the differentiability of discrete Palmer's linearization6
The ground states of quasilinear Hénon equation with double weighted critical exponents6
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions6
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces6
Commutativity properties of Quinn spectra5
Discs area-minimizing in mean convex Riemanniann-manifolds5
Principal bundle structure of the space of metric measure spaces5
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data5
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates5
Discrete heat equation with irregular thermal conductivity and tempered distributional data5
On conformally flat minimal Legendrian submanifolds in the unit sphere5
Index estimates for closed minimal submanifolds of the sphere5
Series expansion of Leray–Trudinger inequality5
PRM volume 153 issue 4 Cover and Back matter4
Finite-time blow-up in a repulsive chemotaxis-consumption system4
Absence of singularities in solutions for the compressible Euler equations with source terms in4
Maximizing weighted sums of binomial coefficients using generalized continued fractions4
Anisotropic Gauss curvature flows and their associated Dual Orlicz-Minkowski problems4
Fourier multipliers for Hardy spaces on graded Lie groups4
PRM volume 152 issue 1 Cover and Front matter4
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space4
Fractional interpolation inequality and radially symmetric ground states4
On the energy equality for very weak solutions to 3D MHD equations4
The rigidity of filtered colimits of n-cluster tilting subcategories4
Borderline gradient continuity for fractional heat type operators4
Isometric dilations for representations of product systems4
Geometry of tropical extensions of hyperfields3
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four3
The localisation theorem for the K-theory of stable ∞-categories3
Equivariant parametrized topological complexity3
A remark on the well-posedness of the modified KdV equation in L23
Asymptotic behaviour of positive solutions of semilinear elliptic problems with increasing powers3
Sharp estimates for Gowers norms on discrete cubes3
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface3
Morse theory of Bestvina–Brady type for posets and matchings3
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect3
Additive energies of subsets of discrete cubes3
Normalized ground state solutions for critical growth Schrödinger equations with Hardy potential3
Singular SPDEs on homogeneous lie groups3
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy3
Symmetrized and non-symmetrized asymptotic mean value Laplacian in metric measure spaces3
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension3
The homotopy decomposition of the suspension of a non-simply-connected five-manifold – ADDENDUM3
PRM volume 154 issue 5 Cover and Back matter3
On the optimization of the first weighted eigenvalue3
Inverse nodal problems on quantum tree graphs2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems2
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations2
Involutivity of distributions at points of superdense tangency with respect to normal currents2
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls2
Multiscale linearization of nonautonomous systems2
Factorization structures, cones, and polytopes2
Index estimates of compact hypersurfaces in smooth metric measure spaces2
PRM volume 153 issue 5 Cover and Front matter2
On a class of special Euler–Lagrange equations2
PRM volume 152 issue 6 Cover and Back matter2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system2
Regular solutions to the dissipative Aw–Rascle system2
Evans function, parity and nonautonomous bifurcations2
Large deviation principle for slow-fast rough differential equations via controlled rough paths2
Arens regularity of ideals of the group algebra of a compact Abelian group2
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data2
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source2
Stability and exponential decay for magnetohydrodynamic equations2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus2
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures2
Topological regularity of isoperimetric sets in PI spaces having a deformation property2
Regularity of quasigeodesics characterizes hyperbolicity2
On the number of conjugacy classes of a primitive permutation group2
Singularities of 3-parameter line congruences in2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes2
Flat model structures and Gorenstein objects in functor categories2
PRM volume 153 issue 6 Cover and Back matter2
PRM volume 152 issue 6 Cover and Front matter2
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres2
Linear actions of $\mathbb {Z}/p\times \mathbb {Z}/p$ on $S^{2n-1}\times S^{2n-1}$2
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group2
Some results for semi-stable radial solutions of k-Hessian equations with weight on ℝn2
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra2
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle2
Double EPW sextics associated with Gushel–Mukai surfaces2
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant2
Topological volumes of fibrations: a note on open covers2
On the topological complexity and zero-divisor cup-length of real Grassmannians2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations2
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula2
Avoidance loci and tropicalizations of real bitangents to plane quartics2
The fundamental gap of a kind of sub-elliptic operator2
On the oscillation of certain second-order linear differential equations2
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model2
Vanishing of Nil-terms and negative K-theory for additive categories2
On complete submanifolds with parallel normalized mean curvature in product spaces2
Surfaces of prescribed linear Weingarten curvature in1
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid1
Radial and non-radial solutions for a class of (p, q)-Laplace equations involving weights1
A note on right-nil and strong-nil skew braces1
Nonlinear elasticity with vanishing nonlocal self-repulsion1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity1
The structure of finite groups whose elements outside a normal subgroup have prime power orders1
PRM volume 154 issue 1 Cover and Front matter1
Non-Hilbertian tangents to Hilbertian spaces1
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM1
BP-cohomology of projective Stiefel manifolds1
Sharp Sobolev regularity of restricted X-ray transforms1
A geometric interpretation of Ranicki duality1
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles1
Deformations of corank 1 frontals1
Unit fractions with shifted prime denominators1
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra1
A weighted Trudinger–Moser inequalities and applications to some weighted $(N,q)-$Laplacian equation in $\mathbb {R}^N$ with new exponential growth conditions1
Nonchaotic N-expansive homeomorphisms1
PRM volume 154 issue 3 Cover and Back matter1
Large deviation principles of 2D stochastic Navier–Stokes equations with Lévy noises1
PRM volume 153 issue 2 Cover and Back matter1
PRM volume 153 issue 5 Cover and Back matter1
Semigroups of self-similar actions and higher rank Baumslag–Solitar semigroups1
Spreading primitive groups of diagonal type do not exist1
Global index of real polynomials1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices1
On cohomogeneity one Hermitian non-Kähler metrics1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces1
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds1
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions1
Cartesian closed varieties II: links to algebra and self-similarity1
Weak weight-semi-greedy Markushevich bases1
From the Mayer–Vietoris spectral sequence to überhomology1
Pointwise Assouad dimension for measures1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds1
PRM volume 153 issue 1 Cover and Front matter1
Propagation of minima for nonlocal operators1
Iterates of meromorphic functions on escaping Fatou components1
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem1
A stability inequality for planar lens partition1
Error bounds for the asymptotic expansions of the Hermite polynomials1
Pullback measure attractors for stochastic p-Laplacian parabolic equations on thin domains1
Pressure live loads and the variational derivation of linear elasticity1
Brittle fracture in linearly elastic plates1
Andrew Ranicki1
The geometry of C1,α flat isometric immersions1
Fence of saddle solutions of the Allen–Cahn equation in the plane1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms1
Compact reduction in Lipschitz-free spaces - RETRACTION1
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions1
Harnack inequality for the nonlocal equations with general growth1
Optimal Hardy-weights for the (p, A)-Laplacian with a potential term1
Relaxation for an optimal design problem inBD(Ω)1
Torsion in classifying spaces of gauge groups1
Rotating periodic solutions for p-Laplacian differential systems1
RETRACTED - Compact reduction in Lipschitz-free spaces1
Synthetic versus distributional lower Ricci curvature bounds1
Shape index, Brouwer degree and Poincaré–Hopf theorem1
Nonrigidity of flat ribbons1
PRM volume 153 issue 3 Cover and Back matter1
The monostable cooperative system with nonlocal diffusion and free boundaries1
Jumps, cusps, and fractals in the solution of the periodic linear Benjamin–Ono equation1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities1
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators1
Every locally compact group is the outer automorphism group of a II1 factor1
Weakly concave operators1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition1
Generic properties of topological groups1
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors1
A note on monotonicity and Bochner formulas in Carnot groups1
Measure data elliptic problems with generalized Orlicz growth1
On a perturbed critical semilinear equation with singularity1
On Lebesgue points of entropy solutions to the eikonal equation1
Equivariant covering type and the number of vertices in equivariant triangulations1
Simple dynamics in non-monotone Kolmogorov systems1
Delta-invariants of complete intersection log del Pezzo surfaces1
Connected sums of codimension two locally flat submanifolds1
Duality pairs, phantom maps, and definability in triangulated categories1
PRM volume 152 issue 5 Cover and Back matter1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback1
Girth, magnitude homology and phase transition of diagonality1
On a backward problem for nonlinear time fractional wave equations1
Subsymmetric exchanged braids and the Burau matrix1
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth1
Order continuity of Arens extensions of regular multilinear operators1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations1
Fixed point conditions for non-coprime actions1
Topologically free actions and ideals in twisted Banach algebra crossed products1
PRM volume 151 issue 5 Cover and Front matter1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient1
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