Proceedings of the Royal Society of Edinburgh Section A-Mathematics

Article	Citations
On the global existence of solutions to chemotaxis system for two populations in dimension two	20
PRM volume 154 issue 2 Cover and Front matter	20
Shape sensitivity of the Hardy constant involving the distance from a boundary submanifold	17
Brownian motion on the golden ratio Sierpinski gasket	16
A criterion to detect a non-trivial homology of an invariant set of a flow in $\mathbb{R}^3$	12
Fixed point sets and the fundamental group II: Euler characteristics	11
On global fractional Calderón–Zygmund regularity for the fractional Dirichlet problem on Lipschitz domains	11
On the Sobolev stability threshold for shear flows near Couette in 2D MHD equations	8
Schwartz very weak solutions for Schrödinger type equations with distributional coefficients	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
PRM volume 154 issue 4 Cover and Back matter	8
Maximal noncompactness of limiting Sobolev embeddings	7
Structural stability of transonic shock flows with an external force	7
Solutions with prescribed mass for L2-supercritical NLS equations under Neumann boundary conditions	7
The ground states of quasilinear Hénon equation with double weighted critical exponents	7
Tropical graph curves	7
Blow-up for the wave equation with nonlinear source and boundary damping terms – CORRIGENDUM	6
On mixed local–nonlocal problems with Hardy potential	6
A note on the differentiability of discrete Palmer's linearization	6
On the L-polynomials of curves over finite fields	6
Simultaneous rotation of infinitely many parallel line segments	5
PRM volume 153 issue 4 Cover and Back matter	5
On a localization-in-frequency approach for a class of elliptic problems with singular boundary data	5
Weighted Lipschitz shadowing and generalized weighted limit shadowing for infinite-dimensional systems	5

Commutativity properties of Quinn spectra	5
On entropy of pure mixing maps on dendrites	5
The rigidity of filtered colimits of n-cluster tilting subcategories	5
Fourier multipliers for Hardy spaces on graded Lie groups	5
Axisymmetric stationary surfaces for the moment of inertia	5
Remarks on a formula of Ramanujan	5
On conformally flat minimal Legendrian submanifolds in the unit sphere	5
Quantitative quasi-invariance of Gaussian measures below the energy level for the 1D generalized nonlinear Schrödinger equation and application to global well-posedness	5
Borderline gradient continuity for fractional heat type operators	4
Wreath products and the non-coprime k ( GV ) problem	4
On the dimension theory of Okamoto’s function	4
Intersection Theorem for DG-modules over non-positive DG-rings	4
Discrete heat equation with irregular thermal conductivity and tempered distributional data	4
Isometric dilations for representations of product systems	4
Sharp estimates for Gowers norms on discrete cubes	4
Geometry of tropical extensions of hyperfields	4
Multiplicity of positive solutions for a class of nonhomogeneous elliptic equations in the hyperbolic space	4
Principal bundle structure of the space of metric measure spaces	4
Large Salem sets avoiding nonlinear configurations	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
Finite-time blow-up in a repulsive chemotaxis-consumption system	4
On the optimization of the first weighted eigenvalue	3
Anisotropic weighted isoperimetric inequalities for star-shaped and F-mean convex hypersurface	3
Symmetrized and non-symmetrized asymptotic mean value Laplacian in metric measure spaces	3
The localisation theorem for the K-theory of stable ∞-categories	3
Quasi-hereditary covers of Temperley–Lieb algebras and relative dominant dimension	3
Evans function, parity and nonautonomous bifurcations	3
Morse theory of Bestvina–Brady type for posets and matchings	3
Friedrichs extensions for Sturm–Liouville operators with complex coefficients and their spectra	3
On the energy dissipation phenomena for Navier–Stokes equations of compressible fluid flow	3
PRM volume 154 issue 5 Cover and Back matter	3
Multipeak solutions for fractional elliptic equations on conformal infinities	3
Maximizing weighted sums of binomial coefficients using generalized continued fractions	3
Arens regularity of ideals of the group algebra of a compact Abelian group	3
On the oscillation of certain second-order linear differential equations	3
Additive energies of subsets of discrete cubes	3
Equivariant parametrized topological complexity	3
Singular SPDEs on homogeneous lie groups	3
Birkhoff spectrum for diagonally self-affine sets and digit frequencies for GLS systems with redundancy	3
Bifurcations and pattern formation in a host–parasitoid model with nonlocal effect	3
A remark on the well-posedness of the modified KdV equation in L2	3
Zero-electron-mass limit of the compressible Navier–Stokes–Poisson equations with well/ill-prepared initial data	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
Higher topological complexity of Seifert fibred manifolds	2
Quantitative stability in fractional Hardy–Sobolev inequalities: the role of Euler–Lagrange equations	2
Distribution and moments of the error term in the lattice point counting problem for three-dimensional Cygan–Korányi balls	2
Global dynamics for the stochastic nonlinear beam equations on the four-dimensional torus	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
Involutivity of distributions at points of superdense tangency with respect to normal currents	2
PRM volume 153 issue 6 Cover and Back matter	2
Estimates for the nonlinear viscoelastic damped wave equation on compact Lie groups	2
Regular solutions to the dissipative Aw–Rascle system	2
Convergence for the fractional p-Laplacian and its application to the extended Nirenberg problem	2
Fixed point sets and the fundamental group I: semi-free actions on G-CW-complexes	2
Strongly outer actions of certain torsion-free amenable groups on the Razak–Jacelon algebra	2
PRM volume 153 issue 5 Cover and Back matter	2
On a supersonic-sonic patch arising from the two-dimensional Riemann problem of the compressible Euler equations	2
The monostable cooperative system with nonlocal diffusion and free boundaries	2
Multiscale linearization of nonautonomous systems	2
Weak weight-semi-greedy Markushevich bases	2
Index estimates of compact hypersurfaces in smooth metric measure spaces	2
On the string topology of symmetric spaces of higher rank	2
Superlinear problems involving nonlinear superposition operators of mixed fractional order	2
Global boundedness and stabilization of solutions for a chemotaxis system with acceleration and logistic source	2
Unconditional convergence of eigenfunction expansions for abstract and elliptic operators	2
PRM volume 152 issue 6 Cover and Front matter	2
Vanishing of Nil-terms and negative K-theory for additive categories	2
PRM volume 153 issue 5 Cover and Front matter	2
3D Navier–Stokes–Voigt equations with damping and double delays on unbounded domains: Well-posedness, pullback attractors, and limit measures	2
The fundamental gap of a kind of sub-elliptic operator	2
Orbital stability of solitary wave solutions of the generalized Benjamin equation	2
Factorization structures, cones, and polytopes	2
PRM volume 152 issue 5 Cover and Back matter	2
Nonrigidity of flat ribbons	2
Sharp conditions for the validity of the Bourgain–Brezis–Mironescu formula	2
Eternal solutions to a porous medium equation with strong non-homogeneous absorption. Part I: radially non-increasing profiles	2
PRM volume 154 issue 3 Cover and Back matter	2
Equivariant and invariant parametrized topological complexity	2
Double EPW sextics associated with Gushel–Mukai surfaces	2
Singularities of 3-parameter line congruences in	2
Propagation of minima for nonlocal operators	2
On a class of special Euler–Lagrange equations	2
Surfaces of prescribed linear Weingarten curvature in	2
Global boundedness and large time behaviour in a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant	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
Singer conjecture for varieties with semismall Albanese map and residually finite fundamental group	2
PRM volume 152 issue 6 Cover and Back matter	2
Topological regularity of isoperimetric sets in PI spaces having a deformation property	2
Trend to equilibrium solution for the discrete Safronov–Dubovskiĭ aggregation equation with forcing	2
Large deviation principle for slow-fast rough differential equations via controlled rough paths	2
Global index of real polynomials	2
Regularity of quasigeodesics characterizes hyperbolicity	2
Fence of saddle solutions of the Allen–Cahn equation in the plane	2
Threshold dynamics of a time-periodic SIS model with anomalous diffusion in heterogeneous environments	2
Optimal inverse problems of potentials for two given eigenvalues of Sturm–Liouville problems	2
Order continuity of Arens extensions of regular multilinear operators	2
Flat model structures and Gorenstein objects in functor categories	2
The non-autonomous Navier–Stokes–Brinkman–Forchheimer equation with Dirichlet boundary conditions: dissipativity, regularity, and attractors	2
Fractional time differential equations as a singular limit of the Kobayashi–Warren–Carter system	2
On Lebesgue points of entropy solutions to the eikonal equation	2
Pointwise Assouad dimension for measures	1
Sharp Hardy and spectral gap inequalities on special irreversible Finsler manifolds	1
Equivariant covering type and the number of vertices in equivariant triangulations	1
Spatio-temporal dynamics of a lattice prey–predator system with non-local diffusion in a periodic habitat	1
Torsion in classifying spaces of gauge groups	1
The structure of finite groups whose elements outside a normal subgroup have prime power orders	1
A homotopy rigidity theorem for Ƶ 0 -stable C*-algebras	1
Existence and symmetry breaking results for a Hénon-type equation with Grushin operator	1
Periodic solutions of four-order degenerate differential equations with finite delay in vector-valued function spaces	1
Cavitation of a spherical body under mechanical and self-gravitational forces	1
Subsymmetric exchanged braids and the Burau matrix	1
Nowhere scattered multiplier algebras	1
Rotating periodic solutions for p-Laplacian differential systems	1
On a perturbed critical semilinear equation with singularity	1
Liouville property and quasi-isometries on negatively curved Riemannian surfaces	1
Note on almost isometric ideals and local retracts in Banach and metric spaces	1
PRM volume 153 issue 3 Cover and Back matter	1
PRM volume 154 issue 1 Cover and Front matter	1
Deformations of corank 1 frontals	1
Fractal dimension of potential singular points set in the Navier–Stokes equations under supercritical regularity	1
Nonlinear elasticity with vanishing nonlocal self-repulsion	1
Two dynamical approaches to the notion of exponential separation for random systems of delay differential equations	1
Global classical solution to the chemotaxis-Navier-Stokes system with some realistic boundary conditions	1
On a degenerate diffusive free boundary model for rabies in fox populations	1
A note on monotonicity and Bochner formulas in Carnot groups	1
Shape index, Brouwer degree and Poincaré–Hopf theorem	1

PRM volume 153 issue 1 Cover and Back matter	1
On the existence of a nodal solution for p-Laplacian equations depending on the gradient	1
Weakly concave operators	1
Concavity of spacetimes	1
Adhesion and volume filling in one-dimensional population dynamics under Dirichlet boundary condition	1
Sharp Sobolev regularity of restricted X-ray transforms	1
Radial and non-radial solutions for a class of (p, q)-Laplace equations involving weights	1
Four-dimensional Lorentzian algebraic Ricci solitons	1
Equivalence between the functional equation and Voronoï-type summation identities for a class of L-functions	1
On BMO and Hardy regularity estimates for a class of non-local elliptic equations	1
Jumps, cusps, and fractals in the solution of the periodic linear Benjamin–Ono equation	1
Cartesian closed varieties II: links to algebra and self-similarity	1
Stabilization of the Kawahara–Kadomtsev–Petviashvili equation with time-delayed feedback	1
Pin ± -structures on non-oriented 4-manifolds via Lefschetz fibrations	1
Skew group categories, algebras associated to Cartan matrices and folding of root lattices	1
A stability inequality for planar lens partition	1
On the non-properness set of a local homeomorphism	1
A note on energy equality for the fractional Navier-Stokes equations	1
Synthetic versus distributional lower Ricci curvature bounds	1
A geometric interpretation of Ranicki duality	1
Cohomology of restricted twisted Heisenberg Lie algebras	1
Double points and image of reflection maps	1
Spectral asymptotics for linear elasticity: the case of mixed boundary conditions	1
Uniform bounds for polynomial Carleson operators and oscillatory integrals of Radon type	1
Connected sums of codimension two locally flat submanifolds	1
Cyclicity of rigid centres on centre manifolds of three-dimensional systems	1
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions	1
Existence of minimizers of the stability constant of Caffarelli–Kohn–Nirenberg inequality	1
From the Mayer–Vietoris spectral sequence to überhomology	1
On some nonlinear Schrödinger equations in ℝN	1
Nonchaotic N-expansive homeomorphisms	1
Normalized positive solutions for Schrödinger equations with potentials in unbounded domains	1
Hybrid subconvexity for Maass form symmetric-square L -functions	1
Moduli space theory for complete, constant Q-curvature metrics on finitely punctured spheres	1
Thin Gordian unlinks	1
Semilinear elliptic equations involving power nonlinearities and Hardy potentials with boundary singularities	1
Generic properties of topological groups	1
Girth, magnitude homology and phase transition of diagonality	1
A weighted Trudinger–Moser inequalities and applications to some weighted $(N,q)-$Laplacian equation in $\mathbb {R}^N$ with new exponential growth conditions	1
Duality pairs, phantom maps, and definability in triangulated categories	1
Spreading primitive groups of diagonal type do not exist	1
Semigroups of self-similar actions and higher rank Baumslag–Solitar semigroups	1
SU(2)-bundles over highly connected 8-manifolds	1
Topologically free actions and ideals in twisted Banach algebra crossed products	1
PRM volume 153 issue 1 Cover and Front matter	1
A new class of α-Farey maps and an application to normal numbers	1
The boundary value problem for triholomorphic maps	1
Shifted convolution sum for the coefficients of symmetric square L -function	1
PRM volume 153 issue 2 Cover and Back matter	1
Andrew Ranicki	1
Pressure live loads and the variational derivation of linear elasticity	1
A note on right-nil and strong-nil skew braces	1
Unit fractions with shifted prime denominators	1
Hölder regularity and Liouville properties for nonlinear elliptic inequalities with power-growth gradient terms	1
PRM volume 153 issue 4 Cover and Front matter	1
Variation of the one-dimensional centered maximal operator on simple functions with gaps between pieces	1
Pullback measure attractors for stochastic p-Laplacian parabolic equations on thin domains	1
The two membranes problem in a regular tree	1
Weak porosity on metric measure spaces	1
Every locally compact group is the outer automorphism group of a II1 factor	1
Radial solvability for Pucci-Lane-Emden systems in annuli	1
Iterates of meromorphic functions on escaping Fatou components	1
The geometry of C 1, α flat isometric immersions	1
Harnack inequality for the nonlocal equations with general growth	1
Fixed point conditions for non-coprime actions	1
L p positivity preservation and self-adjointness of Schrödinger operators on incomplete Rie	1
On generalized eigenvalue problems of fractional (p, q)-Laplace operator with two parameters – CORRIGENDUM	1
Optimization of the principal eigenvalue of the Neumann Laplacian with indefinite weight and monotonicity of minimizers in cylinders	0
On classification of singular matrix difference equations of mixed order	0
Finite domination and Novikov homology over strongly $\mathbb {Z}^2$-graded rings	0
Intrinsic stochastic differential equations and the extended Itô formula on manifolds	0
Rigidity of mapping class groups MOD powers of twists	0
Divergence of mock Fourier series for spectral measures	0
A note on the Maxwell’s eigenvalues on thin sets	0
Atypical bifurcation for periodic solutions of ϕ-Laplacian systems	0
A sharp threshold for Trudinger–Moser type inequalities with logarithmic kernels in dimension N	0
Necessary and sufficient conditions for ground state solutions to planar Kirchhoff-type equations	0
A note on time-asymptotic bounds with a sharp algebraic rate and a transitional exponent for the sublinear Fujita problem	0
Nonlocal carrier’s double phase problem	0
PRM volume 154 issue 6 Cover and Back matter	0
Conformally Kähler structures	0
The fluctuations of the mod p rank of triangular matrices	0
Reducing subspaces for rank-one perturbations of normal operators	0
Rigidity for the perimeter inequality under Schwarz symmetrization	0
Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation	0
Incidence geometry and polynomial expansion over finite fields	0
Stability properties of multidimensional symmetric hyperbolic systems with damping, differential constraints and delay	0
Strong discrete Morse theory	0
Differential Harnack estimates for a weighted nonlinear parabolic equation under a super Perelman–Ricci flow and implications	0
Is the Sacker–Sell type spectrum equal to the contractible set?	0
Multiple solutions for some classes of non-linear elliptic equations with variable exponents	0
Liouville-type theorems for the quasilinear elliptic equation and inequality with logarithmic nonlinearity	0
Groundstates of the planar Schrödinger–Poisson system with potential well and lack of symmetry	0
Variational method for fractional Hamiltonian system in bounded domain	0
Blow-up of cylindrically symmetric solutions for fractional NLS	0