Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
The effects of diffusion on the principal eigenvalue for age-structured models with random diffusion	20
Nonlocal anisotropic interactions of Coulomb type	12
PRM volume 154 issue 2 Cover and Front matter	8
PRM volume 154 issue 2 Cover and Back matter	8
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	7
Robustness of nonuniform mean-square exponential dichotomies	7
Existence of weak solutions to an anisotropic parabolic–parabolic chemotaxis system	7
Avoidance loci and tropicalizations of real bitangents to plane quartics	6
Fixed point sets and the fundamental group II: Euler characteristics	6
PRM volume 154 issue 4 Cover and Back matter	6
Remarks on countable subadditivity	6
PRM volume 153 issue 3 Cover and Back matter	6
Stability of concordance embeddings	5
Local well-posedness and global analyticity for solutions of a generalized 0-equation	5
Exponential decay for the KdV equation on ℝ with new localized dampings	5
PRM volume 151 issue 4 Cover and Back matter	5
Compact and weakly compact Lipschitz operators	5
On the first eigenvalue of the Laplace operator for compact spacelike submanifolds in Lorentz–Minkowski spacetime ????m	5
Derived homotopy algebras	5
Generalized small cancellation conditions, non-positive curvature and diagrammatic reducibility	5
Well-posedness of the free surface problem on a Newtonian fluid between cylinders rotating at different speeds	5
PRM volume 151 issue 3 Cover and Back matter	5
Invariant set generated by a nonreal number is everywhere dense	4
Existence and regularity of time-dependent pullback attractors for the non-autonomous nonclassical diffusion equations	4
On a class of difference operator and its applications to a family of analytic functions	4

On a quasilinear elliptic problem involving the 1-Laplacian operator and a discontinuous nonlinearity	4
On the fractional Lazer-McKenna conjecture with critical growth	4
On a critical time-harmonic Maxwell equation in nonlocal media	4
Flat model structures and Gorenstein objects in functor categories	4
On k-folding map-germs and hidden symmetries of surfaces in the Euclidean 3-space	4
Riemannian approximation in Carnot groups	4
Index estimates of compact hypersurfaces in smooth metric measure spaces	4
On the global existence of solutions to chemotaxis system for two populations in dimension two	4
Iterates of meromorphic functions on escaping Fatou components	4
Decay of weak solutions to Vlasov equation coupled with a shear thickening fluid	3
A new inner approach for differential subordinations	3
Multiscale linearization of nonautonomous systems	3
PRM volume 152 issue 6 Cover and Front matter	3
Toeplitz determinants with a one-cut regular potential and Fisher–Hartwig singularities I. Equilibrium measure supported on the unit circle	3
On the number of conjugacy classes of a primitive permutation group	3
The Fokker–Planck equation for the time-changed fractional Ornstein–Uhlenbeck stochastic process	3
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	3
PRM volume 154 issue 5 Cover and Front matter	3
On the linearized Whitham–Broer–Kaup system on bounded domains	3
Qualitative properties of singular solutions to fractional elliptic equations	3
The cyclicity of the period annulus of a reversible quadratic system	3
The homotopy classification of four-dimensional toric orbifolds	3
Weighted estimates for Bochner–Riesz operators on Lorentz spaces	3
Intersection configurations in free and free times free-abelian groups	3
Lorentz and Gale–Ryser theorems on general measure spaces	2
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	2
Coisotropic Ekeland–Hofer capacities	2
Dynamics of projectable functions: towards an atlas of wandering domains for a family of Newton maps	2
On the spectrum of non-self-adjoint Dirac operators with quasi-periodic boundary conditions	2
Brownian motion on the golden ratio Sierpinski gasket	2
Liouville-type results for positive solutions of pseudo-relativistic Schrödinger system	2
Stability and exponential decay for magnetohydrodynamic equations	2
On a class of special Euler–Lagrange equations	2
On the dimension of planar self-affine sets with non-invertible maps	2
Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains	2
Asymptotic profiles of a nonlocal dispersal SIS epidemic model with saturated incidence	2
On a class of self-similar sets which contain finitely many common points	2
Global well-posedness and decay estimates for three-dimensional compressible Navier–Stokes–Allen–Cahn systems	2
Maximal noncompactness of limiting Sobolev embeddings	2
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	2
Finite presentability of twisted Brin–Thompson groups	2
On finite groups with exactly one vanishing conjugacy class size	2
Nonlinear elasticity with vanishing nonlocal self-repulsion	2
PRM volume 153 issue 6 Cover and Front matter	2
Asymptotic behaviour in a doubly haptotactic cross-diffusion model for oncolytic virotherapy	2
Singularities of 3-parameter line congruences in	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	2
Various topological complexities of small covers and real Bott manifolds	2
On two congruence conjectures of Z.-W. Sun involving Franel numbers	2

Lipschitz-free spaces and subsets of finite-dimensional spaces	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	1
On the topological complexity and zero-divisor cup-length of real Grassmannians	1
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	1
PRM volume 153 issue 2 Cover and Front matter	1
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	1
Desingularization of 2D elliptic free-boundary problem with non-autonomous nonlinearity	1
On the Γ-convergence of the Allen–Cahn functional with boundary conditions	1
Existence results for a nonlinear nonautonomous transmission problem via domain perturbation	1
Integral representation of hydraulic permeability	1
A note on monotonicity and Bochner formulas in Carnot groups	1
PRM volume 153 issue 2 Cover and Back matter	1
On large solutions for fractional Hamilton–Jacobi equations	1
The dual tree of a fold map germ from to	1
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	1
Optimal decay for solutions of nonlocal semilinear equations with critical exponent in homogeneous groups	1
Finely quasiconformal mappings	1
The mod-p homology of the classifying spaces of certain gauge groups	1
Harnack type estimates to non-linear elliptic systems in the plane	1
Bifurcation of the travelling wave solutions in a perturbed (1 + 1)-dimensional dispersive long wave equation via a geometric approach	1
PRM volume 152 issue 3 Cover and Front matter	1
Karamata's theorem for regularized Cauchy transforms	1
Catenaries and minimal surfaces of revolution in hyperbolic space	1
Remarks on a formula of Ramanujan	1
Bifurcation structure of coexistence states for a prey–predator model with large population flux by attractive transition	1
Moser's theorem with frequency-preserving	1
Parrondo's paradox for homoeomorphisms	1
Kolmogorov’s theorem for degenerate Hamiltonian systems with Hölder continuous parameters	1
From the Mayer–Vietoris spectral sequence to überhomology	1
The homotopy decomposition of the suspension of a non-simply-connected five-manifold	1
Girth, magnitude homology and phase transition of diagonality	1
Discs area-minimizing in mean convex Riemanniann-manifolds	1
Equivariant stable sheaves and toric GIT	1
The Daugavet and Delta-constants of points in Banach spaces	1
Transportation on spheres via an entropy formula	1
Index estimates for closed minimal submanifolds of the sphere	1
One-sided estimates via function	1
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	1
Simple dynamics in non-monotone Kolmogorov systems	1
Structural stability of transonic shock flows with an external force	1
PRM volume 152 issue 2 Cover and Front matter	1
A note on the differentiability of discrete Palmer's linearization	1
The space of commuting elements in a Lie group and maps between classifying spaces	1
Topological regularity of isoperimetric sets in PI spaces having a deformation property	1
PRM volume 151 issue 5 Cover and Back matter	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Classification of simple smooth modules over the Heisenberg–Virasoro algebra	1
Pointwise Assouad dimension for measures	1
The structure of finite groups whose elements outside a normal subgroup have prime power orders	1
Global regularity for the micropolar Rayleigh-Bénard problem with only velocity dissipation	1
The existence of unbounded solutions of asymmetric oscillations in the degenerate resonant case	1
Global regularity criterion for the dissipative systems modelling electrohydrodynamics involving the middle eigenvalue of the strain tensor	1
Existence and multiplicity of periodic solutions to differential equations with attractive singularities	1
Right-angled Artin groups, polyhedral products and the -generating function	1
Tropical graph curves	1
Existence and analyticity of solutions of the Kuramoto–Sivashinsky equation with singular data	1
Decay at infinity for solutions to some fractional parabolic equations	1
Generic properties of topological groups	1
Coupling capacity in C*-algebras	1
Corrigendum to “Topological complexity of real Grassmannians”	1
Spreading primitive groups of diagonal type do not exist	1
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	1
On stable commutator length of non-filling curves in surfaces	1
Harnack inequality for the nonlocal equations with general growth	1
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	1
Non-bifurcation of critical periods from semi-hyperbolic polycycles of quadratic centres	1
Concentrating standing waves for Davey–Stewartson systems	1
Reconstruction of topological graphs and their Hilbert bimodules	1
Dual exponential polynomials and a problem of Ozawa	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1
The cohomology rings of real toric spaces and smooth real toric varieties	1
PRM volume 151 issue 2 Cover and Back matter	1
PRM volume 152 issue 6 Cover and Back matter	1
On a class of bivariate distributions built of q-ultraspherical polynomials	1
Spreading speeds and traveling wave solutions of diffusive vector-borne disease models without monotonicity	1
Estimate, existence and nonexistence of positive solutions of Hardy–Hénon equations	1
Topological volumes of fibrations: a note on open covers	1
The socle of subshift algebras, with applications to subshift conjugacy	1
PRM volume 153 issue 6 Cover and Back matter	1
The ground states of quasilinear Hénon equation with double weighted critical exponents	1

L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Riemannian manifolds	1
On regular algebraic hypersurfaces with non-zero constant mean curvature in Euclidean spaces	1
PRM volume 153 issue 4 Cover and Back matter	1
The fundamental gap of a kind of sub-elliptic operator	1
The Cauchy problem for an inviscid Oldroyd-B model in three dimensions: global well posedness and optimal decay rates	1
Numerical invariants on twisted noncommutative polyballs: curvature and multiplicity	1
Wold decomposition on odometer semigroups	1
Corrigendum: Dynamics of a susceptible—infected—susceptible epidemic reaction—diffusion model	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
Finite domination and Novikov homology over strongly -graded rings	0
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy	0
An alternative approach to solenoidal Lipschitz truncation	0
Equivariant covering type and the number of vertices in equivariant triangulations	0
Minimal isometric dilations and operator models for the polydisc	0
Weighted norm inequalities for positive operators restricted on the cone of λ-quasiconcave functions — Corrigendum	0
PRM volume 153 issue 1 Cover and Back matter	0
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	0
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	0
A mathematical analysis of the Kakinuma model for interfacial gravity waves. Part II: justification as a shallow water approximation	0
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions	0
The roles of nonlinear diffusion, haptotaxis and ECM remodelling in determining the global solvability of a cancer invasion model	0
Asymptotic profiles for positive solutions of diffusive logistic equations	0
The affirmative answer to Singer's conjecture on the algebraic transfer of rank four	0
Poincaré complex diagonals and the Bass trace conjecture	0
Concentration and multiplicity of solutions for fractional double phase problems	0
On stability for generalized linear differential equations and applications to impulsive systems	0
Subsymmetric exchanged braids and the Burau matrix	0
A note on the Winterbottom shape	0
Symmetrized and non-symmetrizedasymptotic mean value Laplacian in metric measure spaces	0
Spiraling solutions of nonlinear Schrödinger equations	0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	0
PRM volume 153 issue 4 Cover and Front matter	0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation	0
Measure data elliptic problems with generalized Orlicz growth	0
Variational characterizations of weighted Hardy spaces and weighted spaces	0
PRM volume 154 issue 5 Cover and Back matter	0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay	0
On Riemann–Hilbert problem and multiple high-order pole solutions to the cubic Camassa–Holm equation	0
Boundary layer of Hsieh's equation with conservative nonlinearity	0
Shadowing and hyperbolicity for linear delay difference equations	0
Recollements, comma categories and morphic enhancements	0
Long-time dynamics and semi-wave of a delayed nonlocal epidemic model with free boundaries	0
Global centres in a class of quintic polynomial differential systems	0
Periodic pattern formation in the coupled chemotaxis-(Navier–)Stokes system with mixed nonhomogeneous boundary conditions – CORRIGENDUM	0
Divergence of mock Fourier series for spectral measures	0
Sharp Sobolev regularity of restricted X-ray transforms	0
Topologically free actions and ideals in twisted Banach algebra crossed products	0
Liouville theorems for the sub-linear Lane–Emden equation on the half space	0
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	0
On the reconstruction of unknown driving forces from low-mode observations in the 2D Navier–Stokes equations	0
Gabber rigidity in hermitian K-theory	0
On some nonlinear Schrödinger equations in ℝN	0
PRM volume 152 issue 4 Cover and Back matter	0
PRM volume 151 issue 4 Cover and Front matter	0
PRM volume 151 issue 2 Cover and Front matter	0
Cyclicity of rigid centres on centre manifolds of three-dimensional systems	0
Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensions	0
PRM volume 154 issue 1 Cover and Back matter	0
PRM volume 151 issue 6 Cover and Back matter	0
PRM volume 154 issue 4 Cover and Front matter	0
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	0
A revisit to “On BMO and Carleson measures on Riemannian manifolds”	0
PRM volume 153 issue 3 Cover and Front matter	0
Radial solvability for Pucci-Lane-Emden systems in annuli	0
Rigidity for the perimeter inequality under Schwarz symmetrization	0
On complete submanifolds with parallel normalized mean curvature in product spaces	0
Equivariant parametrized topological complexity	0
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	0
A remark on the well-posedness of the modified KdV equation in L2	0
Global well-posedness and nonlinear stability of a chemotaxis system modelling multiple sclerosis	0
Asymptotic formulas of the eigenvalues for the linearization of the scalar field equation	0
The two membranes problem in a regular tree	0
On generalized eigenvalue problems of fractional (p,q)-Laplace operator with two parameters	0
Well-posedness of quasilinear parabolic equations in time-weighted spaces	0
Second-kind symmetric periodic orbits for planar perturbed Kepler problems and applications	0
Fractal dimension of potential singular points set in the Navier–Stokes equations under supercritical regularity	0
The admissible KMS bundles on classifiable C⁎-algebras	0
Morse theory of Bestvina–Brady type for posets and matchings	0
Additive energies of subsets of discrete cubes	0
Travelling wave fronts of Lotka-Volterra reaction-diffusion system in the weak competition case	0
Schatten class composition operators on the Hardy space	0
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	0
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	0
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	0
Vanishing of Nil-terms and negative K-theory for additi ve categories	0
Cyclic parallel structure Jacobi operator for real hypersurfaces in complex two-plane Grassmannians	0
Symmetry via the moving plane method for a class of quasilinear elliptic problems involving the Hardy potential	0
Prescribing nearly constant curvatures on balls	0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations	0
Deformations of corank 1 frontals	0
Behaviour of solutions to p-Laplacian with Robin boundary conditions as p goes to 1	0
Connected sums of codimension two locally flat submanifolds	0
A weighted Trudinger–Moser inequalities and applications to some weighted Laplacian equation in with new exponential growth conditions	0
The localisation theorem for the K-theory of stable ∞-categories	0
The effect of a perturbation on Brezis-Nirenberg’s problem	0